Greatest Common Factor of 2456/625, 2920/4584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2456/625, 2920/4584

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 2456/625,2920/4584

Given fractions are 2456/625,2920/4584

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 2456,2920

Greatest Common Factor of Numerators i.e. GCF of 2456,2920 is 8 .

LCM of Denominators means LCM of 625,4584 as per the given fractions.

LCM of 625,4584 is 2865000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2456,2920

GCF of Fractions 2456/625,2920/4584 is 8/2865000

2 2456, 2920
2 1228, 1460
2 614, 730
307, 365

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2456,2920 By Matching Biggest Common Factor Method

Greatest Common Factor of 2456,2920 By Matching Biggest Common Factor Method

Factors of 2456

List of positive integer factors of 2456 that divides 2456 without a remainder.

1,2,4,8,307,614,1228,2456

Factors of 2920

List of positive integer factors of 2920 that divides 2920 without a remainder.

1,2,4,5,8,10,20,40,73,146,292,365,584,730,1460,2920

Greatest Common Factor

We found the factors 2456,2920 . The biggest common factor number is the GCF number.
So the greatest common factor 2456,2920 is 8.

Lets's calculate LCM of 625,4584

Given numbers has no common factors except 1. So, there LCM is their product i.e 2865000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2865000

Therefore, the GCF of Fractions 2456/625,2920/4584 is 8/2865000

Least Common Multiple of 625,4584 with GCF Formula

Least Common Multiple of 625,4584 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 625,4584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,4584) = 1

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

GCF(625,4584) x common factors =1 x 1 = 1

LCM(625,4584) = ( 625 × 4584 ) / 1

LCM(625,4584) = 2865000 / 1

LCM(625,4584) = 2865000


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 2456/625, 2920/4584

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 2456/625, 2920/4584?

Answer: GCF of Numerators as per given numbers 2456/625, 2920/4584 is

GCF of Numerators i.e. for 2456,2920 is 8

LCM of denominators i.e. for 625,4584 is 2865000.

Thus, GCF of Fractions is 8/2865000.Finally, GCF of Fractions for 2456/625, 2920/4584 is 8/2865000.