Greatest Common Factor of 9724/51, 5398/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9724/51, 5398/124

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 9724/51,5398/124

Given fractions are 9724/51,5398/124

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 9724,5398

Greatest Common Factor of Numerators i.e. GCF of 9724,5398 is 2 .

LCM of Denominators means LCM of 51,124 as per the given fractions.

LCM of 51,124 is 6324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9724,5398

GCF of Fractions 9724/51,5398/124 is 2/6324

2 9724, 5398
4862, 2699

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

Greatest Common Factor of 9724,5398 By Matching Biggest Common Factor Method

Greatest Common Factor of 9724,5398 By Matching Biggest Common Factor Method

Factors of 9724

List of positive integer factors of 9724 that divides 9724 without a remainder.

1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724

Factors of 5398

List of positive integer factors of 5398 that divides 5398 without a remainder.

1,2,2699,5398

Greatest Common Factor

We found the factors 9724,5398 . The biggest common factor number is the GCF number.
So the greatest common factor 9724,5398 is 2.

Lets's calculate LCM of 51,124

Given numbers has no common factors except 1. So, there LCM is their product i.e 6324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6324

Therefore, the GCF of Fractions 9724/51,5398/124 is 2/6324

Least Common Multiple of 51,124 with GCF Formula

Least Common Multiple of 51,124 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 51,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,124) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(51,124) x common factors =1 x 1 = 1

LCM(51,124) = ( 51 × 124 ) / 1

LCM(51,124) = 6324 / 1

LCM(51,124) = 6324


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 9724/51, 5398/124

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 9724/51, 5398/124?

Answer: GCF of Numerators as per given numbers 9724/51, 5398/124 is

GCF of Numerators i.e. for 9724,5398 is 2

LCM of denominators i.e. for 51,124 is 6324.

Thus, GCF of Fractions is 2/6324.Finally, GCF of Fractions for 9724/51, 5398/124 is 2/6324.