Greatest Common Factor of 48/1, 22/3, 20/2, 85/4, 232/8, 15/1, 42/5, 949/8, 59/7, 65/7

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/1, 22/3, 20/2, 85/4, 232/8, 15/1, 42/5, 949/8, 59/7, 65/7

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 48/1,22/3,20/2,85/4,232/8,15/1,42/5,949/8,59/7,65/7

Given fractions are 48/1,22/3,20/2,85/4,232/8,15/1,42/5,949/8,59/7,65/7

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 48,22,20,85,232,15,42,949,59,65

Greatest Common Factor of Numerators i.e. GCF of 48,22,20,85,232,15,42,949,59,65 is 1 .

LCM of Denominators means LCM of 1,3,2,4,8,1,5,8,7,7 as per the given fractions.

LCM of 1,3,2,4,8,1,5,8,7,7 is 840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,22,20,85,232,15,42,949,59,65

GCF of Fractions 48/1,22/3,20/2,85/4,232/8,15/1,42/5,949/8,59/7,65/7 is 1/840

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

Greatest Common Factor of 48,22,20,85,232,15,42,949,59,65 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,22,20,85,232,15,42,949,59,65 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Greatest Common Factor

We found the factors 48,22,20,85,232,15,42,949,59,65 . The biggest common factor number is the GCF number.
So the greatest common factor 48,22,20,85,232,15,42,949,59,65 is 1.

Lets's calculate LCM of 1,3,2,4,8,1,5,8,7,7

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

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

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

Therefore, the GCF of Fractions 48/1,22/3,20/2,85/4,232/8,15/1,42/5,949/8,59/7,65/7 is 1/840

Least Common Multiple of 1,3,2,4,8,1,5,8,7,7 with GCF Formula

Least Common Multiple of 1,3,2,4,8,1,5,8,7,7 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 1,3,2,4,8,1,5,8,7,7 and common factors if more than two numbers have common factor, than apply into the LCM equation.

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

common factors(in case of two or more numbers have common factors) = 448

GCF(1,3,2,4,8,1,5,8,7,7) x common factors =1 x 448 = 448

LCM(1,3,2,4,8,1,5,8,7,7) = ( 1 × 3 × 2 × 4 × 8 × 1 × 5 × 8 × 7 × 7 ) / 448

LCM(1,3,2,4,8,1,5,8,7,7) = 376320 / 448

LCM(1,3,2,4,8,1,5,8,7,7) = 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 48/1, 22/3, 20/2, 85/4, 232/8, 15/1, 42/5, 949/8, 59/7, 65/7

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 48/1, 22/3, 20/2, 85/4, 232/8, 15/1, 42/5, 949/8, 59/7, 65/7?

Answer: GCF of Numerators as per given numbers 48/1, 22/3, 20/2, 85/4, 232/8, 15/1, 42/5, 949/8, 59/7, 65/7 is

GCF of Numerators i.e. for 48,22,20,85,232,15,42,949,59,65 is 1

LCM of denominators i.e. for 1,3,2,4,8,1,5,8,7,7 is 840.

Thus, GCF of Fractions is 1/840.Finally, GCF of Fractions for 48/1, 22/3, 20/2, 85/4, 232/8, 15/1, 42/5, 949/8, 59/7, 65/7 is 1/840.