Greatest Common Factor of 8237/21, 8952/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8237/21, 8952/365

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 8237/21,8952/365

Given fractions are 8237/21,8952/365

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 8237,8952

Greatest Common Factor of Numerators i.e. GCF of 8237,8952 is 1 .

LCM of Denominators means LCM of 21,365 as per the given fractions.

LCM of 21,365 is 7665 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8237,8952

GCF of Fractions 8237/21,8952/365 is 1/7665

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8237,8952 By Matching Biggest Common Factor Method

Greatest Common Factor of 8237,8952 By Matching Biggest Common Factor Method

Factors of 8237

List of positive integer factors of 8237 that divides 8237 without a remainder.

1,8237

Factors of 8952

List of positive integer factors of 8952 that divides 8952 without a remainder.

1,2,3,4,6,8,12,24,373,746,1119,1492,2238,2984,4476,8952

Greatest Common Factor

We found the factors 8237,8952 . The biggest common factor number is the GCF number.
So the greatest common factor 8237,8952 is 1.

Lets's calculate LCM of 21,365

Given numbers has no common factors except 1. So, there LCM is their product i.e 7665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7665

Therefore, the GCF of Fractions 8237/21,8952/365 is 1/7665

Least Common Multiple of 21,365 with GCF Formula

Least Common Multiple of 21,365 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 21,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,365) = 1

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

GCF(21,365) x common factors =1 x 1 = 1

LCM(21,365) = ( 21 × 365 ) / 1

LCM(21,365) = 7665 / 1

LCM(21,365) = 7665


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 8237/21, 8952/365

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 8237/21, 8952/365?

Answer: GCF of Numerators as per given numbers 8237/21, 8952/365 is

GCF of Numerators i.e. for 8237,8952 is 1

LCM of denominators i.e. for 21,365 is 7665.

Thus, GCF of Fractions is 1/7665.Finally, GCF of Fractions for 8237/21, 8952/365 is 1/7665.