Greatest Common Factor of 6604/971, 3691/7256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6604/971, 3691/7256

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 6604/971,3691/7256

Given fractions are 6604/971,3691/7256

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 6604,3691

Greatest Common Factor of Numerators i.e. GCF of 6604,3691 is 1 .

LCM of Denominators means LCM of 971,7256 as per the given fractions.

LCM of 971,7256 is 7045576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6604,3691

GCF of Fractions 6604/971,3691/7256 is 1/7045576

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

Greatest Common Factor of 6604,3691 By Matching Biggest Common Factor Method

Greatest Common Factor of 6604,3691 By Matching Biggest Common Factor Method

Factors of 6604

List of positive integer factors of 6604 that divides 6604 without a remainder.

1,2,4,13,26,52,127,254,508,1651,3302,6604

Factors of 3691

List of positive integer factors of 3691 that divides 3691 without a remainder.

1,3691

Greatest Common Factor

We found the factors 6604,3691 . The biggest common factor number is the GCF number.
So the greatest common factor 6604,3691 is 1.

Lets's calculate LCM of 971,7256

Given numbers has no common factors except 1. So, there LCM is their product i.e 7045576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7045576

Therefore, the GCF of Fractions 6604/971,3691/7256 is 1/7045576

Least Common Multiple of 971,7256 with GCF Formula

Least Common Multiple of 971,7256 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 971,7256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,7256) = 1

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

GCF(971,7256) x common factors =1 x 1 = 1

LCM(971,7256) = ( 971 × 7256 ) / 1

LCM(971,7256) = 7045576 / 1

LCM(971,7256) = 7045576


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 6604/971, 3691/7256

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 6604/971, 3691/7256?

Answer: GCF of Numerators as per given numbers 6604/971, 3691/7256 is

GCF of Numerators i.e. for 6604,3691 is 1

LCM of denominators i.e. for 971,7256 is 7045576.

Thus, GCF of Fractions is 1/7045576.Finally, GCF of Fractions for 6604/971, 3691/7256 is 1/7045576.