Greatest Common Factor of 9279/50, 5656/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9279/50, 5656/126

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 9279/50,5656/126

Given fractions are 9279/50,5656/126

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 9279,5656

Greatest Common Factor of Numerators i.e. GCF of 9279,5656 is 1 .

LCM of Denominators means LCM of 50,126 as per the given fractions.

LCM of 50,126 is 3150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9279,5656

GCF of Fractions 9279/50,5656/126 is 1/3150

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

Greatest Common Factor of 9279,5656 By Matching Biggest Common Factor Method

Greatest Common Factor of 9279,5656 By Matching Biggest Common Factor Method

Factors of 9279

List of positive integer factors of 9279 that divides 9279 without a remainder.

1,3,9,1031,3093,9279

Factors of 5656

List of positive integer factors of 5656 that divides 5656 without a remainder.

1,2,4,7,8,14,28,56,101,202,404,707,808,1414,2828,5656

Greatest Common Factor

We found the factors 9279,5656 . The biggest common factor number is the GCF number.
So the greatest common factor 9279,5656 is 1.

Lets's calculate LCM of 50,126

2 50, 126
25, 63

∴ So the LCM of the given numbers is 2 x 25 x 63 = 3150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3150

Therefore, the GCF of Fractions 9279/50,5656/126 is 1/3150

Least Common Multiple of 50,126 with GCF Formula

Least Common Multiple of 50,126 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 50,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,126) = 2

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

GCF(50,126) x common factors =2 x 1 = 2

LCM(50,126) = ( 50 × 126 ) / 2

LCM(50,126) = 6300 / 2

LCM(50,126) = 3150


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 9279/50, 5656/126

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 9279/50, 5656/126?

Answer: GCF of Numerators as per given numbers 9279/50, 5656/126 is

GCF of Numerators i.e. for 9279,5656 is 1

LCM of denominators i.e. for 50,126 is 3150.

Thus, GCF of Fractions is 1/3150.Finally, GCF of Fractions for 9279/50, 5656/126 is 1/3150.