Greatest Common Factor of 8422/261, 8753/3032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8422/261, 8753/3032

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 8422/261,8753/3032

Given fractions are 8422/261,8753/3032

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 8422,8753

Greatest Common Factor of Numerators i.e. GCF of 8422,8753 is 1 .

LCM of Denominators means LCM of 261,3032 as per the given fractions.

LCM of 261,3032 is 791352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8422,8753

GCF of Fractions 8422/261,8753/3032 is 1/791352

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

Greatest Common Factor of 8422,8753 By Matching Biggest Common Factor Method

Greatest Common Factor of 8422,8753 By Matching Biggest Common Factor Method

Factors of 8422

List of positive integer factors of 8422 that divides 8422 without a remainder.

1,2,4211,8422

Factors of 8753

List of positive integer factors of 8753 that divides 8753 without a remainder.

1,8753

Greatest Common Factor

We found the factors 8422,8753 . The biggest common factor number is the GCF number.
So the greatest common factor 8422,8753 is 1.

Lets's calculate LCM of 261,3032

Given numbers has no common factors except 1. So, there LCM is their product i.e 791352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/791352

Therefore, the GCF of Fractions 8422/261,8753/3032 is 1/791352

Least Common Multiple of 261,3032 with GCF Formula

Least Common Multiple of 261,3032 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 261,3032 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(261,3032) = 1

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

GCF(261,3032) x common factors =1 x 1 = 1

LCM(261,3032) = ( 261 × 3032 ) / 1

LCM(261,3032) = 791352 / 1

LCM(261,3032) = 791352


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 8422/261, 8753/3032

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 8422/261, 8753/3032?

Answer: GCF of Numerators as per given numbers 8422/261, 8753/3032 is

GCF of Numerators i.e. for 8422,8753 is 1

LCM of denominators i.e. for 261,3032 is 791352.

Thus, GCF of Fractions is 1/791352.Finally, GCF of Fractions for 8422/261, 8753/3032 is 1/791352.