Greatest Common Factor of 52/22, 94/637, 686/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 52/22, 94/637, 686/539

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 52/22,94/637,686/539

Given fractions are 52/22,94/637,686/539

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 52,94,686

Greatest Common Factor of Numerators i.e. GCF of 52,94,686 is 2 .

LCM of Denominators means LCM of 22,637,539 as per the given fractions.

LCM of 22,637,539 is 14014 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,94,686

GCF of Fractions 52/22,94/637,686/539 is 2/14014

2 52, 94, 686
26, 47, 343

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

Greatest Common Factor of 52,94,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,94,686 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 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 52,94,686 . The biggest common factor number is the GCF number.
So the greatest common factor 52,94,686 is 2.


Lets's calculate LCM of 22,637,539

7 22, 637, 539
7 22, 91, 77
11 22, 13, 11
2, 13, 1

∴ So the LCM of the given numbers is 7 x 7 x 11 x 2 x 13 x 1 = 14014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14014

Therefore, the GCF of Fractions 52/22,94/637,686/539 is 2/14014

Least Common Multiple of 22,637,539 with GCF Formula

Least Common Multiple of 22,637,539 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 22,637,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,637,539) = 1

common factors(in case of two or more numbers have common factors) = 539

GCF(22,637,539) x common factors =1 x 539 = 539

LCM(22,637,539) = ( 22 × 637 × 539 ) / 539

LCM(22,637,539) = 7553546 / 539

LCM(22,637,539) = 14014


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 52/22, 94/637, 686/539

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 52/22, 94/637, 686/539?

Answer: GCF of Numerators as per given numbers 52/22, 94/637, 686/539 is

GCF of Numerators i.e. for 52,94,686 is 2

LCM of denominators i.e. for 22,637,539 is 14014.

Thus, GCF of Fractions is 2/14014.Finally, GCF of Fractions for 52/22, 94/637, 686/539 is 2/14014.