Greatest Common Factor of 2945/264, 5757/6279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2945/264, 5757/6279

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 2945/264,5757/6279

Given fractions are 2945/264,5757/6279

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 2945,5757

Greatest Common Factor of Numerators i.e. GCF of 2945,5757 is 19 .

LCM of Denominators means LCM of 264,6279 as per the given fractions.

LCM of 264,6279 is 552552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2945,5757

GCF of Fractions 2945/264,5757/6279 is 19/552552

19 2945, 5757
155, 303

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 2945,5757 By Matching Biggest Common Factor Method

Greatest Common Factor of 2945,5757 By Matching Biggest Common Factor Method

Factors of 2945

List of positive integer factors of 2945 that divides 2945 without a remainder.

1,5,19,31,95,155,589,2945

Factors of 5757

List of positive integer factors of 5757 that divides 5757 without a remainder.

1,3,19,57,101,303,1919,5757

Greatest Common Factor

We found the factors 2945,5757 . The biggest common factor number is the GCF number.
So the greatest common factor 2945,5757 is 19.

Lets's calculate LCM of 264,6279

3 264, 6279
88, 2093

∴ So the LCM of the given numbers is 3 x 88 x 2093 = 552552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/552552

Therefore, the GCF of Fractions 2945/264,5757/6279 is 19/552552

Least Common Multiple of 264,6279 with GCF Formula

Least Common Multiple of 264,6279 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 264,6279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,6279) = 3

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

GCF(264,6279) x common factors =3 x 1 = 3

LCM(264,6279) = ( 264 × 6279 ) / 3

LCM(264,6279) = 1657656 / 3

LCM(264,6279) = 552552


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 2945/264, 5757/6279

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 2945/264, 5757/6279?

Answer: GCF of Numerators as per given numbers 2945/264, 5757/6279 is

GCF of Numerators i.e. for 2945,5757 is 19

LCM of denominators i.e. for 264,6279 is 552552.

Thus, GCF of Fractions is 19/552552.Finally, GCF of Fractions for 2945/264, 5757/6279 is 19/552552.