Greatest Common Factor of 9256/379, 7124/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9256/379, 7124/102

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 9256/379,7124/102

Given fractions are 9256/379,7124/102

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 9256,7124

Greatest Common Factor of Numerators i.e. GCF of 9256,7124 is 52 .

LCM of Denominators means LCM of 379,102 as per the given fractions.

LCM of 379,102 is 38658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9256,7124

GCF of Fractions 9256/379,7124/102 is 52/38658

2 9256, 7124
2 4628, 3562
13 2314, 1781
178, 137

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 9256,7124 By Matching Biggest Common Factor Method

Greatest Common Factor of 9256,7124 By Matching Biggest Common Factor Method

Factors of 9256

List of positive integer factors of 9256 that divides 9256 without a remainder.

1,2,4,8,13,26,52,89,104,178,356,712,1157,2314,4628,9256

Factors of 7124

List of positive integer factors of 7124 that divides 7124 without a remainder.

1,2,4,13,26,52,137,274,548,1781,3562,7124

Greatest Common Factor

We found the factors 9256,7124 . The biggest common factor number is the GCF number.
So the greatest common factor 9256,7124 is 52.

Lets's calculate LCM of 379,102

Given numbers has no common factors except 1. So, there LCM is their product i.e 38658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/38658

Therefore, the GCF of Fractions 9256/379,7124/102 is 52/38658

Least Common Multiple of 379,102 with GCF Formula

Least Common Multiple of 379,102 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 379,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,102) = 1

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

GCF(379,102) x common factors =1 x 1 = 1

LCM(379,102) = ( 379 × 102 ) / 1

LCM(379,102) = 38658 / 1

LCM(379,102) = 38658


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 9256/379, 7124/102

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 9256/379, 7124/102?

Answer: GCF of Numerators as per given numbers 9256/379, 7124/102 is

GCF of Numerators i.e. for 9256,7124 is 52

LCM of denominators i.e. for 379,102 is 38658.

Thus, GCF of Fractions is 52/38658.Finally, GCF of Fractions for 9256/379, 7124/102 is 52/38658.