Greatest Common Factor of 6976/53, 4998/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6976/53, 4998/702

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 6976/53,4998/702

Given fractions are 6976/53,4998/702

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 6976,4998

Greatest Common Factor of Numerators i.e. GCF of 6976,4998 is 2 .

LCM of Denominators means LCM of 53,702 as per the given fractions.

LCM of 53,702 is 37206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6976,4998

GCF of Fractions 6976/53,4998/702 is 2/37206

2 6976, 4998
3488, 2499

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

Greatest Common Factor of 6976,4998 By Matching Biggest Common Factor Method

Greatest Common Factor of 6976,4998 By Matching Biggest Common Factor Method

Factors of 6976

List of positive integer factors of 6976 that divides 6976 without a remainder.

1,2,4,8,16,32,64,109,218,436,872,1744,3488,6976

Factors of 4998

List of positive integer factors of 4998 that divides 4998 without a remainder.

1,2,3,6,7,14,17,21,34,42,49,51,98,102,119,147,238,294,357,714,833,1666,2499,4998

Greatest Common Factor

We found the factors 6976,4998 . The biggest common factor number is the GCF number.
So the greatest common factor 6976,4998 is 2.

Lets's calculate LCM of 53,702

Given numbers has no common factors except 1. So, there LCM is their product i.e 37206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37206

Therefore, the GCF of Fractions 6976/53,4998/702 is 2/37206

Least Common Multiple of 53,702 with GCF Formula

Least Common Multiple of 53,702 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 53,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,702) = 1

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

GCF(53,702) x common factors =1 x 1 = 1

LCM(53,702) = ( 53 × 702 ) / 1

LCM(53,702) = 37206 / 1

LCM(53,702) = 37206


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 6976/53, 4998/702

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 6976/53, 4998/702?

Answer: GCF of Numerators as per given numbers 6976/53, 4998/702 is

GCF of Numerators i.e. for 6976,4998 is 2

LCM of denominators i.e. for 53,702 is 37206.

Thus, GCF of Fractions is 2/37206.Finally, GCF of Fractions for 6976/53, 4998/702 is 2/37206.