Greatest Common Factor of 936/69, 351/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 936/69, 351/357

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 936/69,351/357

Given fractions are 936/69,351/357

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 936,351

Greatest Common Factor of Numerators i.e. GCF of 936,351 is 117 .

LCM of Denominators means LCM of 69,357 as per the given fractions.

LCM of 69,357 is 8211 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 936,351

GCF of Fractions 936/69,351/357 is 117/8211

3 936, 351
3 312, 117
13 104, 39
8, 3

∴ So the GCF of the given numbers is 3 x 3 x 13 = 117

Greatest Common Factor of 936,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,351 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 936,351 . The biggest common factor number is the GCF number.
So the greatest common factor 936,351 is 117.

Lets's calculate LCM of 69,357

3 69, 357
23, 119

∴ So the LCM of the given numbers is 3 x 23 x 119 = 8211

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 117/8211

Therefore, the GCF of Fractions 936/69,351/357 is 117/8211

Least Common Multiple of 69,357 with GCF Formula

Least Common Multiple of 69,357 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 69,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,357) = 3

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

GCF(69,357) x common factors =3 x 1 = 3

LCM(69,357) = ( 69 × 357 ) / 3

LCM(69,357) = 24633 / 3

LCM(69,357) = 8211


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 936/69, 351/357

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 936/69, 351/357?

Answer: GCF of Numerators as per given numbers 936/69, 351/357 is

GCF of Numerators i.e. for 936,351 is 117

LCM of denominators i.e. for 69,357 is 8211.

Thus, GCF of Fractions is 117/8211.Finally, GCF of Fractions for 936/69, 351/357 is 117/8211.