Greatest Common Factor of 1885/272, 1659/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1885/272, 1659/586

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 1885/272,1659/586

Given fractions are 1885/272,1659/586

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 1885,1659

Greatest Common Factor of Numerators i.e. GCF of 1885,1659 is 1 .

LCM of Denominators means LCM of 272,586 as per the given fractions.

LCM of 272,586 is 79696 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1885,1659

GCF of Fractions 1885/272,1659/586 is 1/79696

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

Greatest Common Factor of 1885,1659 By Matching Biggest Common Factor Method

Greatest Common Factor of 1885,1659 By Matching Biggest Common Factor Method

Factors of 1885

List of positive integer factors of 1885 that divides 1885 without a remainder.

1,5,13,29,65,145,377,1885

Factors of 1659

List of positive integer factors of 1659 that divides 1659 without a remainder.

1,3,7,21,79,237,553,1659

Greatest Common Factor

We found the factors 1885,1659 . The biggest common factor number is the GCF number.
So the greatest common factor 1885,1659 is 1.

Lets's calculate LCM of 272,586

2 272, 586
136, 293

∴ So the LCM of the given numbers is 2 x 136 x 293 = 79696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79696

Therefore, the GCF of Fractions 1885/272,1659/586 is 1/79696

Least Common Multiple of 272,586 with GCF Formula

Least Common Multiple of 272,586 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 272,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,586) = 2

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

GCF(272,586) x common factors =2 x 1 = 2

LCM(272,586) = ( 272 × 586 ) / 2

LCM(272,586) = 159392 / 2

LCM(272,586) = 79696


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 1885/272, 1659/586

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 1885/272, 1659/586?

Answer: GCF of Numerators as per given numbers 1885/272, 1659/586 is

GCF of Numerators i.e. for 1885,1659 is 1

LCM of denominators i.e. for 272,586 is 79696.

Thus, GCF of Fractions is 1/79696.Finally, GCF of Fractions for 1885/272, 1659/586 is 1/79696.