Greatest Common Factor of 7931/689, 6411/5169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7931/689, 6411/5169

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 7931/689,6411/5169

Given fractions are 7931/689,6411/5169

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 7931,6411

Greatest Common Factor of Numerators i.e. GCF of 7931,6411 is 1 .

LCM of Denominators means LCM of 689,5169 as per the given fractions.

LCM of 689,5169 is 3561441 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7931,6411

GCF of Fractions 7931/689,6411/5169 is 1/3561441

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

Greatest Common Factor of 7931,6411 By Matching Biggest Common Factor Method

Greatest Common Factor of 7931,6411 By Matching Biggest Common Factor Method

Factors of 7931

List of positive integer factors of 7931 that divides 7931 without a remainder.

1,7,11,77,103,721,1133,7931

Factors of 6411

List of positive integer factors of 6411 that divides 6411 without a remainder.

1,3,2137,6411

Greatest Common Factor

We found the factors 7931,6411 . The biggest common factor number is the GCF number.
So the greatest common factor 7931,6411 is 1.

Lets's calculate LCM of 689,5169

Given numbers has no common factors except 1. So, there LCM is their product i.e 3561441

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3561441

Therefore, the GCF of Fractions 7931/689,6411/5169 is 1/3561441

Least Common Multiple of 689,5169 with GCF Formula

Least Common Multiple of 689,5169 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 689,5169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,5169) = 1

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

GCF(689,5169) x common factors =1 x 1 = 1

LCM(689,5169) = ( 689 × 5169 ) / 1

LCM(689,5169) = 3561441 / 1

LCM(689,5169) = 3561441


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 7931/689, 6411/5169

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 7931/689, 6411/5169?

Answer: GCF of Numerators as per given numbers 7931/689, 6411/5169 is

GCF of Numerators i.e. for 7931,6411 is 1

LCM of denominators i.e. for 689,5169 is 3561441.

Thus, GCF of Fractions is 1/3561441.Finally, GCF of Fractions for 7931/689, 6411/5169 is 1/3561441.