Greatest Common Factor of 35/1, 45/5, 59/5, 76/7, 943/8, 46/4, 31/3, 652/8, 71/9, 10/3

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/1, 45/5, 59/5, 76/7, 943/8, 46/4, 31/3, 652/8, 71/9, 10/3

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 35/1,45/5,59/5,76/7,943/8,46/4,31/3,652/8,71/9,10/3

Given fractions are 35/1,45/5,59/5,76/7,943/8,46/4,31/3,652/8,71/9,10/3

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 35,45,59,76,943,46,31,652,71,10

Greatest Common Factor of Numerators i.e. GCF of 35,45,59,76,943,46,31,652,71,10 is 1 .

LCM of Denominators means LCM of 1,5,5,7,8,4,3,8,9,3 as per the given fractions.

LCM of 1,5,5,7,8,4,3,8,9,3 is 2520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,45,59,76,943,46,31,652,71,10

GCF of Fractions 35/1,45/5,59/5,76/7,943/8,46/4,31/3,652/8,71/9,10/3 is 1/2520

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

Greatest Common Factor of 35,45,59,76,943,46,31,652,71,10 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,45,59,76,943,46,31,652,71,10 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 45

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

1,3,5,9,15,45

Factors of 59

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

1,59

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Greatest Common Factor

We found the factors 35,45,59,76,943,46,31,652,71,10 . The biggest common factor number is the GCF number.
So the greatest common factor 35,45,59,76,943,46,31,652,71,10 is 1.

Lets's calculate LCM of 1,5,5,7,8,4,3,8,9,3

2 1, 5, 5, 7, 8, 4, 3, 8, 9, 3
2 1, 5, 5, 7, 4, 2, 3, 4, 9, 3
2 1, 5, 5, 7, 1, 2, 3, 2, 9, 3
3 1, 5, 5, 7, 1, 1, 3, 1, 9, 3
5 1, 5, 5, 7, 1, 1, 1, 1, 1, 3
1, 1, 1, 7, 1, 1, 1, 1, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 1 x 1 x 7 x 1 x 1 x 1 x 1 x 1 x 3 = 2520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2520

Therefore, the GCF of Fractions 35/1,45/5,59/5,76/7,943/8,46/4,31/3,652/8,71/9,10/3 is 1/2520

Least Common Multiple of 1,5,5,7,8,4,3,8,9,3 with GCF Formula

Least Common Multiple of 1,5,5,7,8,4,3,8,9,3 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 1,5,5,7,8,4,3,8,9,3 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,5,5,7,8,4,3,8,9,3) = 1

common factors(in case of two or more numbers have common factors) = 1440

GCF(1,5,5,7,8,4,3,8,9,3) x common factors =1 x 1440 = 1440

LCM(1,5,5,7,8,4,3,8,9,3) = ( 1 × 5 × 5 × 7 × 8 × 4 × 3 × 8 × 9 × 3 ) / 1440

LCM(1,5,5,7,8,4,3,8,9,3) = 3628800 / 1440

LCM(1,5,5,7,8,4,3,8,9,3) = 2520


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 35/1, 45/5, 59/5, 76/7, 943/8, 46/4, 31/3, 652/8, 71/9, 10/3

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 35/1, 45/5, 59/5, 76/7, 943/8, 46/4, 31/3, 652/8, 71/9, 10/3?

Answer: GCF of Numerators as per given numbers 35/1, 45/5, 59/5, 76/7, 943/8, 46/4, 31/3, 652/8, 71/9, 10/3 is

GCF of Numerators i.e. for 35,45,59,76,943,46,31,652,71,10 is 1

LCM of denominators i.e. for 1,5,5,7,8,4,3,8,9,3 is 2520.

Thus, GCF of Fractions is 1/2520.Finally, GCF of Fractions for 35/1, 45/5, 59/5, 76/7, 943/8, 46/4, 31/3, 652/8, 71/9, 10/3 is 1/2520.