Greatest Common Factor of 4244/524, 9956/7076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4244/524, 9956/7076

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 4244/524,9956/7076

Given fractions are 4244/524,9956/7076

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 4244,9956

Greatest Common Factor of Numerators i.e. GCF of 4244,9956 is 4 .

LCM of Denominators means LCM of 524,7076 as per the given fractions.

LCM of 524,7076 is 926956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4244,9956

GCF of Fractions 4244/524,9956/7076 is 4/926956

2 4244, 9956
2 2122, 4978
1061, 2489

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4244,9956 By Matching Biggest Common Factor Method

Greatest Common Factor of 4244,9956 By Matching Biggest Common Factor Method

Factors of 4244

List of positive integer factors of 4244 that divides 4244 without a remainder.

1,2,4,1061,2122,4244

Factors of 9956

List of positive integer factors of 9956 that divides 9956 without a remainder.

1,2,4,19,38,76,131,262,524,2489,4978,9956

Greatest Common Factor

We found the factors 4244,9956 . The biggest common factor number is the GCF number.
So the greatest common factor 4244,9956 is 4.

Lets's calculate LCM of 524,7076

2 524, 7076
2 262, 3538
131, 1769

∴ So the LCM of the given numbers is 2 x 2 x 131 x 1769 = 926956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/926956

Therefore, the GCF of Fractions 4244/524,9956/7076 is 4/926956

Least Common Multiple of 524,7076 with GCF Formula

Least Common Multiple of 524,7076 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 524,7076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,7076) = 4

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

GCF(524,7076) x common factors =4 x 1 = 4

LCM(524,7076) = ( 524 × 7076 ) / 4

LCM(524,7076) = 3707824 / 4

LCM(524,7076) = 926956


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4244/524, 9956/7076

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 4244/524, 9956/7076?

Answer: GCF of Numerators as per given numbers 4244/524, 9956/7076 is

GCF of Numerators i.e. for 4244,9956 is 4

LCM of denominators i.e. for 524,7076 is 926956.

Thus, GCF of Fractions is 4/926956.Finally, GCF of Fractions for 4244/524, 9956/7076 is 4/926956.