Greatest Common Factor of 938/32, 910/64, 522/51

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 938/32, 910/64, 522/51

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 938/32,910/64,522/51

Given fractions are 938/32,910/64,522/51

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 938,910,522

Greatest Common Factor of Numerators i.e. GCF of 938,910,522 is 2 .

LCM of Denominators means LCM of 32,64,51 as per the given fractions.

LCM of 32,64,51 is 3264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 938,910,522

GCF of Fractions 938/32,910/64,522/51 is 2/3264

2 938, 910, 522
469, 455, 261

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 938,910,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,910,522 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 938,910,522 . The biggest common factor number is the GCF number.
So the greatest common factor 938,910,522 is 2.

Lets's calculate LCM of 32,64,51

2 32, 64, 51
2 16, 32, 51
2 8, 16, 51
2 4, 8, 51
2 2, 4, 51
1, 2, 51

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 1 x 2 x 51 = 3264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3264

Therefore, the GCF of Fractions 938/32,910/64,522/51 is 2/3264

Least Common Multiple of 32,64,51 with GCF Formula

Least Common Multiple of 32,64,51 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 32,64,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,64,51) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(32,64,51) x common factors =1 x 32 = 32

LCM(32,64,51) = ( 32 × 64 × 51 ) / 32

LCM(32,64,51) = 104448 / 32

LCM(32,64,51) = 3264


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 938/32, 910/64, 522/51

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 938/32, 910/64, 522/51?

Answer: GCF of Numerators as per given numbers 938/32, 910/64, 522/51 is

GCF of Numerators i.e. for 938,910,522 is 2

LCM of denominators i.e. for 32,64,51 is 3264.

Thus, GCF of Fractions is 2/3264.Finally, GCF of Fractions for 938/32, 910/64, 522/51 is 2/3264.