Greatest Common Factor of 156/42, 429/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 156/42, 429/316

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 156/42,429/316

Given fractions are 156/42,429/316

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 156,429

Greatest Common Factor of Numerators i.e. GCF of 156,429 is 39 .

LCM of Denominators means LCM of 42,316 as per the given fractions.

LCM of 42,316 is 6636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 156,429

GCF of Fractions 156/42,429/316 is 39/6636

3 156, 429
13 52, 143
4, 11

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 156,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,429 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 156,429 . The biggest common factor number is the GCF number.
So the greatest common factor 156,429 is 39.

Lets's calculate LCM of 42,316

2 42, 316
21, 158

∴ So the LCM of the given numbers is 2 x 21 x 158 = 6636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/6636

Therefore, the GCF of Fractions 156/42,429/316 is 39/6636

Least Common Multiple of 42,316 with GCF Formula

Least Common Multiple of 42,316 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 42,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,316) = 2

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

GCF(42,316) x common factors =2 x 1 = 2

LCM(42,316) = ( 42 × 316 ) / 2

LCM(42,316) = 13272 / 2

LCM(42,316) = 6636


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 156/42, 429/316

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 156/42, 429/316?

Answer: GCF of Numerators as per given numbers 156/42, 429/316 is

GCF of Numerators i.e. for 156,429 is 39

LCM of denominators i.e. for 42,316 is 6636.

Thus, GCF of Fractions is 39/6636.Finally, GCF of Fractions for 156/42, 429/316 is 39/6636.