Greatest Common Factor of 897/351, 174/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 897/351, 174/132

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 897/351,174/132

Given fractions are 897/351,174/132

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 897,174

Greatest Common Factor of Numerators i.e. GCF of 897,174 is 3 .

LCM of Denominators means LCM of 351,132 as per the given fractions.

LCM of 351,132 is 15444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 897,174

GCF of Fractions 897/351,174/132 is 3/15444

3 897, 174
299, 58

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

Greatest Common Factor of 897,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,174 By Matching Biggest Common Factor Method

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 897,174 . The biggest common factor number is the GCF number.
So the greatest common factor 897,174 is 3.

Lets's calculate LCM of 351,132

3 351, 132
117, 44

∴ So the LCM of the given numbers is 3 x 117 x 44 = 15444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15444

Therefore, the GCF of Fractions 897/351,174/132 is 3/15444

Least Common Multiple of 351,132 with GCF Formula

Least Common Multiple of 351,132 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 351,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,132) = 3

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

GCF(351,132) x common factors =3 x 1 = 3

LCM(351,132) = ( 351 × 132 ) / 3

LCM(351,132) = 46332 / 3

LCM(351,132) = 15444


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 897/351, 174/132

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 897/351, 174/132?

Answer: GCF of Numerators as per given numbers 897/351, 174/132 is

GCF of Numerators i.e. for 897,174 is 3

LCM of denominators i.e. for 351,132 is 15444.

Thus, GCF of Fractions is 3/15444.Finally, GCF of Fractions for 897/351, 174/132 is 3/15444.