Greatest Common Factor of 867/253, 9201/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 867/253, 9201/187

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 867/253,9201/187

Given fractions are 867/253,9201/187

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 867,9201

Greatest Common Factor of Numerators i.e. GCF of 867,9201 is 3 .

LCM of Denominators means LCM of 253,187 as per the given fractions.

LCM of 253,187 is 4301 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 867,9201

GCF of Fractions 867/253,9201/187 is 3/4301

3 867, 9201
289, 3067

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 867,9201 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,9201 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 9201

List of positive integer factors of 9201 that divides 9201 without a remainder.

1,3,3067,9201

Greatest Common Factor

We found the factors 867,9201 . The biggest common factor number is the GCF number.
So the greatest common factor 867,9201 is 3.

Lets's calculate LCM of 253,187

11 253, 187
23, 17

∴ So the LCM of the given numbers is 11 x 23 x 17 = 4301

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4301

Therefore, the GCF of Fractions 867/253,9201/187 is 3/4301

Least Common Multiple of 253,187 with GCF Formula

Least Common Multiple of 253,187 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 253,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,187) = 11

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

GCF(253,187) x common factors =11 x 1 = 11

LCM(253,187) = ( 253 × 187 ) / 11

LCM(253,187) = 47311 / 11

LCM(253,187) = 4301


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 867/253, 9201/187

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 867/253, 9201/187?

Answer: GCF of Numerators as per given numbers 867/253, 9201/187 is

GCF of Numerators i.e. for 867,9201 is 3

LCM of denominators i.e. for 253,187 is 4301.

Thus, GCF of Fractions is 3/4301.Finally, GCF of Fractions for 867/253, 9201/187 is 3/4301.