Greatest Common Factor of 365/272, 753/422, 684/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 365/272, 753/422, 684/806

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 365/272,753/422,684/806

Given fractions are 365/272,753/422,684/806

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 365,753,684

Greatest Common Factor of Numerators i.e. GCF of 365,753,684 is 1 .

LCM of Denominators means LCM of 272,422,806 as per the given fractions.

LCM of 272,422,806 is 23128976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 365,753,684

GCF of Fractions 365/272,753/422,684/806 is 1/23128976

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

Greatest Common Factor of 365,753,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,753,684 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 365,753,684 . The biggest common factor number is the GCF number.
So the greatest common factor 365,753,684 is 1.

Lets's calculate LCM of 272,422,806

2 272, 422, 806
136, 211, 403

∴ So the LCM of the given numbers is 2 x 136 x 211 x 403 = 23128976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23128976

Therefore, the GCF of Fractions 365/272,753/422,684/806 is 1/23128976

Least Common Multiple of 272,422,806 with GCF Formula

Least Common Multiple of 272,422,806 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 272,422,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,422,806) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(272,422,806) x common factors =2 x 2 = 4

LCM(272,422,806) = ( 272 × 422 × 806 ) / 4

LCM(272,422,806) = 92515904 / 4

LCM(272,422,806) = 23128976


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 365/272, 753/422, 684/806

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 365/272, 753/422, 684/806?

Answer: GCF of Numerators as per given numbers 365/272, 753/422, 684/806 is

GCF of Numerators i.e. for 365,753,684 is 1

LCM of denominators i.e. for 272,422,806 is 23128976.

Thus, GCF of Fractions is 1/23128976.Finally, GCF of Fractions for 365/272, 753/422, 684/806 is 1/23128976.