Greatest Common Factor of 7510/983, 6847/7997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7510/983, 6847/7997

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 7510/983,6847/7997

Given fractions are 7510/983,6847/7997

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 7510,6847

Greatest Common Factor of Numerators i.e. GCF of 7510,6847 is 1 .

LCM of Denominators means LCM of 983,7997 as per the given fractions.

LCM of 983,7997 is 7861051 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7510,6847

GCF of Fractions 7510/983,6847/7997 is 1/7861051

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

Greatest Common Factor of 7510,6847 By Matching Biggest Common Factor Method

Greatest Common Factor of 7510,6847 By Matching Biggest Common Factor Method

Factors of 7510

List of positive integer factors of 7510 that divides 7510 without a remainder.

1,2,5,10,751,1502,3755,7510

Factors of 6847

List of positive integer factors of 6847 that divides 6847 without a remainder.

1,41,167,6847

Greatest Common Factor

We found the factors 7510,6847 . The biggest common factor number is the GCF number.
So the greatest common factor 7510,6847 is 1.

Lets's calculate LCM of 983,7997

Given numbers has no common factors except 1. So, there LCM is their product i.e 7861051

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7861051

Therefore, the GCF of Fractions 7510/983,6847/7997 is 1/7861051

Least Common Multiple of 983,7997 with GCF Formula

Least Common Multiple of 983,7997 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 983,7997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,7997) = 1

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

GCF(983,7997) x common factors =1 x 1 = 1

LCM(983,7997) = ( 983 × 7997 ) / 1

LCM(983,7997) = 7861051 / 1

LCM(983,7997) = 7861051


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 7510/983, 6847/7997

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 7510/983, 6847/7997?

Answer: GCF of Numerators as per given numbers 7510/983, 6847/7997 is

GCF of Numerators i.e. for 7510,6847 is 1

LCM of denominators i.e. for 983,7997 is 7861051.

Thus, GCF of Fractions is 1/7861051.Finally, GCF of Fractions for 7510/983, 6847/7997 is 1/7861051.