Greatest Common Factor of 2049/537, 2759/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2049/537, 2759/735

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 2049/537,2759/735

Given fractions are 2049/537,2759/735

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 2049,2759

Greatest Common Factor of Numerators i.e. GCF of 2049,2759 is 1 .

LCM of Denominators means LCM of 537,735 as per the given fractions.

LCM of 537,735 is 131565 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2049,2759

GCF of Fractions 2049/537,2759/735 is 1/131565

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

Greatest Common Factor of 2049,2759 By Matching Biggest Common Factor Method

Greatest Common Factor of 2049,2759 By Matching Biggest Common Factor Method

Factors of 2049

List of positive integer factors of 2049 that divides 2049 without a remainder.

1,3,683,2049

Factors of 2759

List of positive integer factors of 2759 that divides 2759 without a remainder.

1,31,89,2759

Greatest Common Factor

We found the factors 2049,2759 . The biggest common factor number is the GCF number.
So the greatest common factor 2049,2759 is 1.

Lets's calculate LCM of 537,735

3 537, 735
179, 245

∴ So the LCM of the given numbers is 3 x 179 x 245 = 131565

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131565

Therefore, the GCF of Fractions 2049/537,2759/735 is 1/131565

Least Common Multiple of 537,735 with GCF Formula

Least Common Multiple of 537,735 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 537,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,735) = 3

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

GCF(537,735) x common factors =3 x 1 = 3

LCM(537,735) = ( 537 × 735 ) / 3

LCM(537,735) = 394695 / 3

LCM(537,735) = 131565


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 2049/537, 2759/735

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 2049/537, 2759/735?

Answer: GCF of Numerators as per given numbers 2049/537, 2759/735 is

GCF of Numerators i.e. for 2049,2759 is 1

LCM of denominators i.e. for 537,735 is 131565.

Thus, GCF of Fractions is 1/131565.Finally, GCF of Fractions for 2049/537, 2759/735 is 1/131565.