Greatest Common Factor of 453/2719, 732/3940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 453/2719, 732/3940

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 453/2719,732/3940

Given fractions are 453/2719,732/3940

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 453,732

Greatest Common Factor of Numerators i.e. GCF of 453,732 is 3 .

LCM of Denominators means LCM of 2719,3940 as per the given fractions.

LCM of 2719,3940 is 10712860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 453,732

GCF of Fractions 453/2719,732/3940 is 3/10712860

3 453, 732
151, 244

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

Greatest Common Factor of 453,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,732 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 453,732 . The biggest common factor number is the GCF number.
So the greatest common factor 453,732 is 3.

Lets's calculate LCM of 2719,3940

Given numbers has no common factors except 1. So, there LCM is their product i.e 10712860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10712860

Therefore, the GCF of Fractions 453/2719,732/3940 is 3/10712860

Least Common Multiple of 2719,3940 with GCF Formula

Least Common Multiple of 2719,3940 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 2719,3940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2719,3940) = 1

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

GCF(2719,3940) x common factors =1 x 1 = 1

LCM(2719,3940) = ( 2719 × 3940 ) / 1

LCM(2719,3940) = 10712860 / 1

LCM(2719,3940) = 10712860


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 453/2719, 732/3940

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 453/2719, 732/3940?

Answer: GCF of Numerators as per given numbers 453/2719, 732/3940 is

GCF of Numerators i.e. for 453,732 is 3

LCM of denominators i.e. for 2719,3940 is 10712860.

Thus, GCF of Fractions is 3/10712860.Finally, GCF of Fractions for 453/2719, 732/3940 is 3/10712860.