Greatest Common Factor of 867/230, 5355/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 867/230, 5355/157

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 867/230,5355/157

Given fractions are 867/230,5355/157

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 867,5355

Greatest Common Factor of Numerators i.e. GCF of 867,5355 is 51 .

LCM of Denominators means LCM of 230,157 as per the given fractions.

LCM of 230,157 is 36110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 867,5355

GCF of Fractions 867/230,5355/157 is 51/36110

3 867, 5355
17 289, 1785
17, 105

∴ So the GCF of the given numbers is 3 x 17 = 51

Greatest Common Factor of 867,5355 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,5355 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 5355

List of positive integer factors of 5355 that divides 5355 without a remainder.

1,3,5,7,9,15,17,21,35,45,51,63,85,105,119,153,255,315,357,595,765,1071,1785,5355

Greatest Common Factor

We found the factors 867,5355 . The biggest common factor number is the GCF number.
So the greatest common factor 867,5355 is 51.

Lets's calculate LCM of 230,157

Given numbers has no common factors except 1. So, there LCM is their product i.e 36110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/36110

Therefore, the GCF of Fractions 867/230,5355/157 is 51/36110

Least Common Multiple of 230,157 with GCF Formula

Least Common Multiple of 230,157 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 230,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,157) = 1

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

GCF(230,157) x common factors =1 x 1 = 1

LCM(230,157) = ( 230 × 157 ) / 1

LCM(230,157) = 36110 / 1

LCM(230,157) = 36110


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 867/230, 5355/157

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 867/230, 5355/157?

Answer: GCF of Numerators as per given numbers 867/230, 5355/157 is

GCF of Numerators i.e. for 867,5355 is 51

LCM of denominators i.e. for 230,157 is 36110.

Thus, GCF of Fractions is 51/36110.Finally, GCF of Fractions for 867/230, 5355/157 is 51/36110.