Greatest Common Factor of 5054/76, 4984/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5054/76, 4984/657

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 5054/76,4984/657

Given fractions are 5054/76,4984/657

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 5054,4984

Greatest Common Factor of Numerators i.e. GCF of 5054,4984 is 14 .

LCM of Denominators means LCM of 76,657 as per the given fractions.

LCM of 76,657 is 49932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5054,4984

GCF of Fractions 5054/76,4984/657 is 14/49932

2 5054, 4984
7 2527, 2492
361, 356

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 5054,4984 By Matching Biggest Common Factor Method

Greatest Common Factor of 5054,4984 By Matching Biggest Common Factor Method

Factors of 5054

List of positive integer factors of 5054 that divides 5054 without a remainder.

1,2,7,14,19,38,133,266,361,722,2527,5054

Factors of 4984

List of positive integer factors of 4984 that divides 4984 without a remainder.

1,2,4,7,8,14,28,56,89,178,356,623,712,1246,2492,4984

Greatest Common Factor

We found the factors 5054,4984 . The biggest common factor number is the GCF number.
So the greatest common factor 5054,4984 is 14.

Lets's calculate LCM of 76,657

Given numbers has no common factors except 1. So, there LCM is their product i.e 49932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/49932

Therefore, the GCF of Fractions 5054/76,4984/657 is 14/49932

Least Common Multiple of 76,657 with GCF Formula

Least Common Multiple of 76,657 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 76,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,657) = 1

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

GCF(76,657) x common factors =1 x 1 = 1

LCM(76,657) = ( 76 × 657 ) / 1

LCM(76,657) = 49932 / 1

LCM(76,657) = 49932


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 5054/76, 4984/657

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 5054/76, 4984/657?

Answer: GCF of Numerators as per given numbers 5054/76, 4984/657 is

GCF of Numerators i.e. for 5054,4984 is 14

LCM of denominators i.e. for 76,657 is 49932.

Thus, GCF of Fractions is 14/49932.Finally, GCF of Fractions for 5054/76, 4984/657 is 14/49932.