Greatest Common Factor of 7981/488, 4987/7962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7981/488, 4987/7962

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 7981/488,4987/7962

Given fractions are 7981/488,4987/7962

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 7981,4987

Greatest Common Factor of Numerators i.e. GCF of 7981,4987 is 1 .

LCM of Denominators means LCM of 488,7962 as per the given fractions.

LCM of 488,7962 is 1942728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7981,4987

GCF of Fractions 7981/488,4987/7962 is 1/1942728

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

Greatest Common Factor of 7981,4987 By Matching Biggest Common Factor Method

Greatest Common Factor of 7981,4987 By Matching Biggest Common Factor Method

Factors of 7981

List of positive integer factors of 7981 that divides 7981 without a remainder.

1,23,347,7981

Factors of 4987

List of positive integer factors of 4987 that divides 4987 without a remainder.

1,4987

Greatest Common Factor

We found the factors 7981,4987 . The biggest common factor number is the GCF number.
So the greatest common factor 7981,4987 is 1.

Lets's calculate LCM of 488,7962

2 488, 7962
244, 3981

∴ So the LCM of the given numbers is 2 x 244 x 3981 = 1942728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1942728

Therefore, the GCF of Fractions 7981/488,4987/7962 is 1/1942728

Least Common Multiple of 488,7962 with GCF Formula

Least Common Multiple of 488,7962 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 488,7962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,7962) = 2

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

GCF(488,7962) x common factors =2 x 1 = 2

LCM(488,7962) = ( 488 × 7962 ) / 2

LCM(488,7962) = 3885456 / 2

LCM(488,7962) = 1942728


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 7981/488, 4987/7962

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 7981/488, 4987/7962?

Answer: GCF of Numerators as per given numbers 7981/488, 4987/7962 is

GCF of Numerators i.e. for 7981,4987 is 1

LCM of denominators i.e. for 488,7962 is 1942728.

Thus, GCF of Fractions is 1/1942728.Finally, GCF of Fractions for 7981/488, 4987/7962 is 1/1942728.