Greatest Common Factor of 2745/82, 5002/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2745/82, 5002/264

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 2745/82,5002/264

Given fractions are 2745/82,5002/264

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 2745,5002

Greatest Common Factor of Numerators i.e. GCF of 2745,5002 is 61 .

LCM of Denominators means LCM of 82,264 as per the given fractions.

LCM of 82,264 is 10824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2745,5002

GCF of Fractions 2745/82,5002/264 is 61/10824

61 2745, 5002
45, 82

∴ So the GCF of the given numbers is 61 = 61

Greatest Common Factor of 2745,5002 By Matching Biggest Common Factor Method

Greatest Common Factor of 2745,5002 By Matching Biggest Common Factor Method

Factors of 2745

List of positive integer factors of 2745 that divides 2745 without a remainder.

1,3,5,9,15,45,61,183,305,549,915,2745

Factors of 5002

List of positive integer factors of 5002 that divides 5002 without a remainder.

1,2,41,61,82,122,2501,5002

Greatest Common Factor

We found the factors 2745,5002 . The biggest common factor number is the GCF number.
So the greatest common factor 2745,5002 is 61.

Lets's calculate LCM of 82,264

2 82, 264
41, 132

∴ So the LCM of the given numbers is 2 x 41 x 132 = 10824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/10824

Therefore, the GCF of Fractions 2745/82,5002/264 is 61/10824

Least Common Multiple of 82,264 with GCF Formula

Least Common Multiple of 82,264 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 82,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,264) = 2

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

GCF(82,264) x common factors =2 x 1 = 2

LCM(82,264) = ( 82 × 264 ) / 2

LCM(82,264) = 21648 / 2

LCM(82,264) = 10824


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 2745/82, 5002/264

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 2745/82, 5002/264?

Answer: GCF of Numerators as per given numbers 2745/82, 5002/264 is

GCF of Numerators i.e. for 2745,5002 is 61

LCM of denominators i.e. for 82,264 is 10824.

Thus, GCF of Fractions is 61/10824.Finally, GCF of Fractions for 2745/82, 5002/264 is 61/10824.