Greatest Common Factor of 340/252, 971/411, 724/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 340/252, 971/411, 724/204

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 340/252,971/411,724/204

Given fractions are 340/252,971/411,724/204

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 340,971,724

Greatest Common Factor of Numerators i.e. GCF of 340,971,724 is 1 .

LCM of Denominators means LCM of 252,411,204 as per the given fractions.

LCM of 252,411,204 is 586908 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 340,971,724

GCF of Fractions 340/252,971/411,724/204 is 1/586908

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

Greatest Common Factor of 340,971,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,971,724 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 340,971,724 . The biggest common factor number is the GCF number.
So the greatest common factor 340,971,724 is 1.

Lets's calculate LCM of 252,411,204

2 252, 411, 204
2 126, 411, 102
3 63, 411, 51
21, 137, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 21 x 137 x 17 = 586908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586908

Therefore, the GCF of Fractions 340/252,971/411,724/204 is 1/586908

Least Common Multiple of 252,411,204 with GCF Formula

Least Common Multiple of 252,411,204 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 252,411,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,411,204) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(252,411,204) x common factors =3 x 12 = 36

LCM(252,411,204) = ( 252 × 411 × 204 ) / 36

LCM(252,411,204) = 21128688 / 36

LCM(252,411,204) = 586908


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 340/252, 971/411, 724/204

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 340/252, 971/411, 724/204?

Answer: GCF of Numerators as per given numbers 340/252, 971/411, 724/204 is

GCF of Numerators i.e. for 340,971,724 is 1

LCM of denominators i.e. for 252,411,204 is 586908.

Thus, GCF of Fractions is 1/586908.Finally, GCF of Fractions for 340/252, 971/411, 724/204 is 1/586908.