Greatest Common Factor of 952/29, 8136/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 952/29, 8136/164

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 952/29,8136/164

Given fractions are 952/29,8136/164

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 952,8136

Greatest Common Factor of Numerators i.e. GCF of 952,8136 is 8 .

LCM of Denominators means LCM of 29,164 as per the given fractions.

LCM of 29,164 is 4756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 952,8136

GCF of Fractions 952/29,8136/164 is 8/4756

2 952, 8136
2 476, 4068
2 238, 2034
119, 1017

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 952,8136 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,8136 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 8136

List of positive integer factors of 8136 that divides 8136 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,113,226,339,452,678,904,1017,1356,2034,2712,4068,8136

Greatest Common Factor

We found the factors 952,8136 . The biggest common factor number is the GCF number.
So the greatest common factor 952,8136 is 8.

Lets's calculate LCM of 29,164

Given numbers has no common factors except 1. So, there LCM is their product i.e 4756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4756

Therefore, the GCF of Fractions 952/29,8136/164 is 8/4756

Least Common Multiple of 29,164 with GCF Formula

Least Common Multiple of 29,164 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 29,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,164) = 1

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

GCF(29,164) x common factors =1 x 1 = 1

LCM(29,164) = ( 29 × 164 ) / 1

LCM(29,164) = 4756 / 1

LCM(29,164) = 4756


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 952/29, 8136/164

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 952/29, 8136/164?

Answer: GCF of Numerators as per given numbers 952/29, 8136/164 is

GCF of Numerators i.e. for 952,8136 is 8

LCM of denominators i.e. for 29,164 is 4756.

Thus, GCF of Fractions is 8/4756.Finally, GCF of Fractions for 952/29, 8136/164 is 8/4756.