Greatest Common Factor of 297/51, 657/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 297/51, 657/514

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 297/51,657/514

Given fractions are 297/51,657/514

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 297,657

Greatest Common Factor of Numerators i.e. GCF of 297,657 is 9 .

LCM of Denominators means LCM of 51,514 as per the given fractions.

LCM of 51,514 is 26214 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 297,657

GCF of Fractions 297/51,657/514 is 9/26214

3 297, 657
3 99, 219
33, 73

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 297,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,657 By Matching Biggest Common Factor Method

Factors of 297

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

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

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 297,657 . The biggest common factor number is the GCF number.
So the greatest common factor 297,657 is 9.

Lets's calculate LCM of 51,514

Given numbers has no common factors except 1. So, there LCM is their product i.e 26214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/26214

Therefore, the GCF of Fractions 297/51,657/514 is 9/26214

Least Common Multiple of 51,514 with GCF Formula

Least Common Multiple of 51,514 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 51,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,514) = 1

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

GCF(51,514) x common factors =1 x 1 = 1

LCM(51,514) = ( 51 × 514 ) / 1

LCM(51,514) = 26214 / 1

LCM(51,514) = 26214


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 297/51, 657/514

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 297/51, 657/514?

Answer: GCF of Numerators as per given numbers 297/51, 657/514 is

GCF of Numerators i.e. for 297,657 is 9

LCM of denominators i.e. for 51,514 is 26214.

Thus, GCF of Fractions is 9/26214.Finally, GCF of Fractions for 297/51, 657/514 is 9/26214.