Greatest Common Factor of 1491/916, 1532/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1491/916, 1532/697

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 1491/916,1532/697

Given fractions are 1491/916,1532/697

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 1491,1532

Greatest Common Factor of Numerators i.e. GCF of 1491,1532 is 1 .

LCM of Denominators means LCM of 916,697 as per the given fractions.

LCM of 916,697 is 638452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1491,1532

GCF of Fractions 1491/916,1532/697 is 1/638452

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

Greatest Common Factor of 1491,1532 By Matching Biggest Common Factor Method

Greatest Common Factor of 1491,1532 By Matching Biggest Common Factor Method

Factors of 1491

List of positive integer factors of 1491 that divides 1491 without a remainder.

1,3,7,21,71,213,497,1491

Factors of 1532

List of positive integer factors of 1532 that divides 1532 without a remainder.

1,2,4,383,766,1532

Greatest Common Factor

We found the factors 1491,1532 . The biggest common factor number is the GCF number.
So the greatest common factor 1491,1532 is 1.

Lets's calculate LCM of 916,697

Given numbers has no common factors except 1. So, there LCM is their product i.e 638452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/638452

Therefore, the GCF of Fractions 1491/916,1532/697 is 1/638452

Least Common Multiple of 916,697 with GCF Formula

Least Common Multiple of 916,697 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 916,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,697) = 1

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

GCF(916,697) x common factors =1 x 1 = 1

LCM(916,697) = ( 916 × 697 ) / 1

LCM(916,697) = 638452 / 1

LCM(916,697) = 638452


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 1491/916, 1532/697

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 1491/916, 1532/697?

Answer: GCF of Numerators as per given numbers 1491/916, 1532/697 is

GCF of Numerators i.e. for 1491,1532 is 1

LCM of denominators i.e. for 916,697 is 638452.

Thus, GCF of Fractions is 1/638452.Finally, GCF of Fractions for 1491/916, 1532/697 is 1/638452.