Greatest Common Factor of 2731/33, 2465/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2731/33, 2465/634

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 2731/33,2465/634

Given fractions are 2731/33,2465/634

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 2731,2465

Greatest Common Factor of Numerators i.e. GCF of 2731,2465 is 1 .

LCM of Denominators means LCM of 33,634 as per the given fractions.

LCM of 33,634 is 20922 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2731,2465

GCF of Fractions 2731/33,2465/634 is 1/20922

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

Greatest Common Factor of 2731,2465 By Matching Biggest Common Factor Method

Greatest Common Factor of 2731,2465 By Matching Biggest Common Factor Method

Factors of 2731

List of positive integer factors of 2731 that divides 2731 without a remainder.

1,2731

Factors of 2465

List of positive integer factors of 2465 that divides 2465 without a remainder.

1,5,17,29,85,145,493,2465

Greatest Common Factor

We found the factors 2731,2465 . The biggest common factor number is the GCF number.
So the greatest common factor 2731,2465 is 1.

Lets's calculate LCM of 33,634

Given numbers has no common factors except 1. So, there LCM is their product i.e 20922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20922

Therefore, the GCF of Fractions 2731/33,2465/634 is 1/20922

Least Common Multiple of 33,634 with GCF Formula

Least Common Multiple of 33,634 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 33,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,634) = 1

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

GCF(33,634) x common factors =1 x 1 = 1

LCM(33,634) = ( 33 × 634 ) / 1

LCM(33,634) = 20922 / 1

LCM(33,634) = 20922


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 2731/33, 2465/634

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 2731/33, 2465/634?

Answer: GCF of Numerators as per given numbers 2731/33, 2465/634 is

GCF of Numerators i.e. for 2731,2465 is 1

LCM of denominators i.e. for 33,634 is 20922.

Thus, GCF of Fractions is 1/20922.Finally, GCF of Fractions for 2731/33, 2465/634 is 1/20922.