Greatest Common Factor of 5122/256, 4311/9970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5122/256, 4311/9970

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 5122/256,4311/9970

Given fractions are 5122/256,4311/9970

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 5122,4311

Greatest Common Factor of Numerators i.e. GCF of 5122,4311 is 1 .

LCM of Denominators means LCM of 256,9970 as per the given fractions.

LCM of 256,9970 is 1276160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5122,4311

GCF of Fractions 5122/256,4311/9970 is 1/1276160

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

Greatest Common Factor of 5122,4311 By Matching Biggest Common Factor Method

Greatest Common Factor of 5122,4311 By Matching Biggest Common Factor Method

Factors of 5122

List of positive integer factors of 5122 that divides 5122 without a remainder.

1,2,13,26,197,394,2561,5122

Factors of 4311

List of positive integer factors of 4311 that divides 4311 without a remainder.

1,3,9,479,1437,4311

Greatest Common Factor

We found the factors 5122,4311 . The biggest common factor number is the GCF number.
So the greatest common factor 5122,4311 is 1.

Lets's calculate LCM of 256,9970

2 256, 9970
128, 4985

∴ So the LCM of the given numbers is 2 x 128 x 4985 = 1276160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1276160

Therefore, the GCF of Fractions 5122/256,4311/9970 is 1/1276160

Least Common Multiple of 256,9970 with GCF Formula

Least Common Multiple of 256,9970 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 256,9970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,9970) = 2

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

GCF(256,9970) x common factors =2 x 1 = 2

LCM(256,9970) = ( 256 × 9970 ) / 2

LCM(256,9970) = 2552320 / 2

LCM(256,9970) = 1276160


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 5122/256, 4311/9970

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 5122/256, 4311/9970?

Answer: GCF of Numerators as per given numbers 5122/256, 4311/9970 is

GCF of Numerators i.e. for 5122,4311 is 1

LCM of denominators i.e. for 256,9970 is 1276160.

Thus, GCF of Fractions is 1/1276160.Finally, GCF of Fractions for 5122/256, 4311/9970 is 1/1276160.