Greatest Common Factor of 754/831, 297/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 754/831, 297/615

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 754/831,297/615

Given fractions are 754/831,297/615

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 754,297

Greatest Common Factor of Numerators i.e. GCF of 754,297 is 1 .

LCM of Denominators means LCM of 831,615 as per the given fractions.

LCM of 831,615 is 170355 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 754,297

GCF of Fractions 754/831,297/615 is 1/170355

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

Greatest Common Factor of 754,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,297 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 754,297 . The biggest common factor number is the GCF number.
So the greatest common factor 754,297 is 1.

Lets's calculate LCM of 831,615

3 831, 615
277, 205

∴ So the LCM of the given numbers is 3 x 277 x 205 = 170355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170355

Therefore, the GCF of Fractions 754/831,297/615 is 1/170355

Least Common Multiple of 831,615 with GCF Formula

Least Common Multiple of 831,615 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 831,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,615) = 3

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

GCF(831,615) x common factors =3 x 1 = 3

LCM(831,615) = ( 831 × 615 ) / 3

LCM(831,615) = 511065 / 3

LCM(831,615) = 170355


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 754/831, 297/615

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 754/831, 297/615?

Answer: GCF of Numerators as per given numbers 754/831, 297/615 is

GCF of Numerators i.e. for 754,297 is 1

LCM of denominators i.e. for 831,615 is 170355.

Thus, GCF of Fractions is 1/170355.Finally, GCF of Fractions for 754/831, 297/615 is 1/170355.