Greatest Common Factor of 70/57, 42/27, 356/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/57, 42/27, 356/322

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 70/57,42/27,356/322

Given fractions are 70/57,42/27,356/322

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 70,42,356

Greatest Common Factor of Numerators i.e. GCF of 70,42,356 is 2 .

LCM of Denominators means LCM of 57,27,322 as per the given fractions.

LCM of 57,27,322 is 165186 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,42,356

GCF of Fractions 70/57,42/27,356/322 is 2/165186

2 70, 42, 356
35, 21, 178

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 70,42,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,42,356 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 70,42,356 . The biggest common factor number is the GCF number.
So the greatest common factor 70,42,356 is 2.

Lets's calculate LCM of 57,27,322

3 57, 27, 322
19, 9, 322

∴ So the LCM of the given numbers is 3 x 19 x 9 x 322 = 165186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/165186

Therefore, the GCF of Fractions 70/57,42/27,356/322 is 2/165186

Least Common Multiple of 57,27,322 with GCF Formula

Least Common Multiple of 57,27,322 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 57,27,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,27,322) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(57,27,322) x common factors =1 x 3 = 3

LCM(57,27,322) = ( 57 × 27 × 322 ) / 3

LCM(57,27,322) = 495558 / 3

LCM(57,27,322) = 165186


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 70/57, 42/27, 356/322

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 70/57, 42/27, 356/322?

Answer: GCF of Numerators as per given numbers 70/57, 42/27, 356/322 is

GCF of Numerators i.e. for 70,42,356 is 2

LCM of denominators i.e. for 57,27,322 is 165186.

Thus, GCF of Fractions is 2/165186.Finally, GCF of Fractions for 70/57, 42/27, 356/322 is 2/165186.