Greatest Common Factor of 2460/52, 3052/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2460/52, 3052/564

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 2460/52,3052/564

Given fractions are 2460/52,3052/564

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 2460,3052

Greatest Common Factor of Numerators i.e. GCF of 2460,3052 is 4 .

LCM of Denominators means LCM of 52,564 as per the given fractions.

LCM of 52,564 is 7332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2460,3052

GCF of Fractions 2460/52,3052/564 is 4/7332

2 2460, 3052
2 1230, 1526
615, 763

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2460,3052 By Matching Biggest Common Factor Method

Greatest Common Factor of 2460,3052 By Matching Biggest Common Factor Method

Factors of 2460

List of positive integer factors of 2460 that divides 2460 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,41,60,82,123,164,205,246,410,492,615,820,1230,2460

Factors of 3052

List of positive integer factors of 3052 that divides 3052 without a remainder.

1,2,4,7,14,28,109,218,436,763,1526,3052

Greatest Common Factor

We found the factors 2460,3052 . The biggest common factor number is the GCF number.
So the greatest common factor 2460,3052 is 4.

Lets's calculate LCM of 52,564

2 52, 564
2 26, 282
13, 141

∴ So the LCM of the given numbers is 2 x 2 x 13 x 141 = 7332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7332

Therefore, the GCF of Fractions 2460/52,3052/564 is 4/7332

Least Common Multiple of 52,564 with GCF Formula

Least Common Multiple of 52,564 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 52,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,564) = 4

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

GCF(52,564) x common factors =4 x 1 = 4

LCM(52,564) = ( 52 × 564 ) / 4

LCM(52,564) = 29328 / 4

LCM(52,564) = 7332


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 2460/52, 3052/564

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 2460/52, 3052/564?

Answer: GCF of Numerators as per given numbers 2460/52, 3052/564 is

GCF of Numerators i.e. for 2460,3052 is 4

LCM of denominators i.e. for 52,564 is 7332.

Thus, GCF of Fractions is 4/7332.Finally, GCF of Fractions for 2460/52, 3052/564 is 4/7332.