Greatest Common Factor of 52/6, 79/7, 60/5, 72/6, 276/4, 73/3, 30/2, 380/3, 18/7, 45/8

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/6, 79/7, 60/5, 72/6, 276/4, 73/3, 30/2, 380/3, 18/7, 45/8

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 52/6,79/7,60/5,72/6,276/4,73/3,30/2,380/3,18/7,45/8

Given fractions are 52/6,79/7,60/5,72/6,276/4,73/3,30/2,380/3,18/7,45/8

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 52,79,60,72,276,73,30,380,18,45

Greatest Common Factor of Numerators i.e. GCF of 52,79,60,72,276,73,30,380,18,45 is 1 .

LCM of Denominators means LCM of 6,7,5,6,4,3,2,3,7,8 as per the given fractions.

LCM of 6,7,5,6,4,3,2,3,7,8 is 840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,79,60,72,276,73,30,380,18,45

GCF of Fractions 52/6,79/7,60/5,72/6,276/4,73/3,30/2,380/3,18/7,45/8 is 1/840

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 52,79,60,72,276,73,30,380,18,45 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,79,60,72,276,73,30,380,18,45 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Greatest Common Factor

We found the factors 52,79,60,72,276,73,30,380,18,45 . The biggest common factor number is the GCF number.
So the greatest common factor 52,79,60,72,276,73,30,380,18,45 is 1.

Lets's calculate LCM of 6,7,5,6,4,3,2,3,7,8

2 6, 7, 5, 6, 4, 3, 2, 3, 7, 8
2 3, 7, 5, 3, 2, 3, 1, 3, 7, 4
3 3, 7, 5, 3, 1, 3, 1, 3, 7, 2
7 1, 7, 5, 1, 1, 1, 1, 1, 7, 2
1, 1, 5, 1, 1, 1, 1, 1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 1 x 5 x 1 x 1 x 1 x 1 x 1 x 1 x 2 = 840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/840

Therefore, the GCF of Fractions 52/6,79/7,60/5,72/6,276/4,73/3,30/2,380/3,18/7,45/8 is 1/840

Least Common Multiple of 6,7,5,6,4,3,2,3,7,8 with GCF Formula

Least Common Multiple of 6,7,5,6,4,3,2,3,7,8 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 6,7,5,6,4,3,2,3,7,8 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,7,5,6,4,3,2,3,7,8) = 1

common factors(in case of two or more numbers have common factors) = 6048

GCF(6,7,5,6,4,3,2,3,7,8) x common factors =1 x 6048 = 6048

LCM(6,7,5,6,4,3,2,3,7,8) = ( 6 × 7 × 5 × 6 × 4 × 3 × 2 × 3 × 7 × 8 ) / 6048

LCM(6,7,5,6,4,3,2,3,7,8) = 5080320 / 6048

LCM(6,7,5,6,4,3,2,3,7,8) = 840


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 52/6, 79/7, 60/5, 72/6, 276/4, 73/3, 30/2, 380/3, 18/7, 45/8

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 52/6, 79/7, 60/5, 72/6, 276/4, 73/3, 30/2, 380/3, 18/7, 45/8?

Answer: GCF of Numerators as per given numbers 52/6, 79/7, 60/5, 72/6, 276/4, 73/3, 30/2, 380/3, 18/7, 45/8 is

GCF of Numerators i.e. for 52,79,60,72,276,73,30,380,18,45 is 1

LCM of denominators i.e. for 6,7,5,6,4,3,2,3,7,8 is 840.

Thus, GCF of Fractions is 1/840.Finally, GCF of Fractions for 52/6, 79/7, 60/5, 72/6, 276/4, 73/3, 30/2, 380/3, 18/7, 45/8 is 1/840.