Greatest Common Factor of 6500/716, 3607/1131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6500/716, 3607/1131

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 6500/716,3607/1131

Given fractions are 6500/716,3607/1131

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 6500,3607

Greatest Common Factor of Numerators i.e. GCF of 6500,3607 is 1 .

LCM of Denominators means LCM of 716,1131 as per the given fractions.

LCM of 716,1131 is 809796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6500,3607

GCF of Fractions 6500/716,3607/1131 is 1/809796

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

Greatest Common Factor of 6500,3607 By Matching Biggest Common Factor Method

Greatest Common Factor of 6500,3607 By Matching Biggest Common Factor Method

Factors of 6500

List of positive integer factors of 6500 that divides 6500 without a remainder.

1,2,4,5,10,13,20,25,26,50,52,65,100,125,130,250,260,325,500,650,1300,1625,3250,6500

Factors of 3607

List of positive integer factors of 3607 that divides 3607 without a remainder.

1,3607

Greatest Common Factor

We found the factors 6500,3607 . The biggest common factor number is the GCF number.
So the greatest common factor 6500,3607 is 1.

Lets's calculate LCM of 716,1131

Given numbers has no common factors except 1. So, there LCM is their product i.e 809796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/809796

Therefore, the GCF of Fractions 6500/716,3607/1131 is 1/809796

Least Common Multiple of 716,1131 with GCF Formula

Least Common Multiple of 716,1131 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 716,1131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,1131) = 1

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

GCF(716,1131) x common factors =1 x 1 = 1

LCM(716,1131) = ( 716 × 1131 ) / 1

LCM(716,1131) = 809796 / 1

LCM(716,1131) = 809796


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 6500/716, 3607/1131

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 6500/716, 3607/1131?

Answer: GCF of Numerators as per given numbers 6500/716, 3607/1131 is

GCF of Numerators i.e. for 6500,3607 is 1

LCM of denominators i.e. for 716,1131 is 809796.

Thus, GCF of Fractions is 1/809796.Finally, GCF of Fractions for 6500/716, 3607/1131 is 1/809796.