Greatest Common Factor of 7631/757, 6909/3815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7631/757, 6909/3815

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 7631/757,6909/3815

Given fractions are 7631/757,6909/3815

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 7631,6909

Greatest Common Factor of Numerators i.e. GCF of 7631,6909 is 1 .

LCM of Denominators means LCM of 757,3815 as per the given fractions.

LCM of 757,3815 is 2887955 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7631,6909

GCF of Fractions 7631/757,6909/3815 is 1/2887955

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

Greatest Common Factor of 7631,6909 By Matching Biggest Common Factor Method

Greatest Common Factor of 7631,6909 By Matching Biggest Common Factor Method

Factors of 7631

List of positive integer factors of 7631 that divides 7631 without a remainder.

1,13,587,7631

Factors of 6909

List of positive integer factors of 6909 that divides 6909 without a remainder.

1,3,7,21,47,49,141,147,329,987,2303,6909

Greatest Common Factor

We found the factors 7631,6909 . The biggest common factor number is the GCF number.
So the greatest common factor 7631,6909 is 1.

Lets's calculate LCM of 757,3815

Given numbers has no common factors except 1. So, there LCM is their product i.e 2887955

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2887955

Therefore, the GCF of Fractions 7631/757,6909/3815 is 1/2887955

Least Common Multiple of 757,3815 with GCF Formula

Least Common Multiple of 757,3815 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 757,3815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,3815) = 1

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

GCF(757,3815) x common factors =1 x 1 = 1

LCM(757,3815) = ( 757 × 3815 ) / 1

LCM(757,3815) = 2887955 / 1

LCM(757,3815) = 2887955


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 7631/757, 6909/3815

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 7631/757, 6909/3815?

Answer: GCF of Numerators as per given numbers 7631/757, 6909/3815 is

GCF of Numerators i.e. for 7631,6909 is 1

LCM of denominators i.e. for 757,3815 is 2887955.

Thus, GCF of Fractions is 1/2887955.Finally, GCF of Fractions for 7631/757, 6909/3815 is 1/2887955.