Greatest Common Factor of 4456/642, 9864/2567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4456/642, 9864/2567

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 4456/642,9864/2567

Given fractions are 4456/642,9864/2567

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 4456,9864

Greatest Common Factor of Numerators i.e. GCF of 4456,9864 is 8 .

LCM of Denominators means LCM of 642,2567 as per the given fractions.

LCM of 642,2567 is 1648014 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4456,9864

GCF of Fractions 4456/642,9864/2567 is 8/1648014

2 4456, 9864
2 2228, 4932
2 1114, 2466
557, 1233

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

Greatest Common Factor of 4456,9864 By Matching Biggest Common Factor Method

Greatest Common Factor of 4456,9864 By Matching Biggest Common Factor Method

Factors of 4456

List of positive integer factors of 4456 that divides 4456 without a remainder.

1,2,4,8,557,1114,2228,4456

Factors of 9864

List of positive integer factors of 9864 that divides 9864 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,137,274,411,548,822,1096,1233,1644,2466,3288,4932,9864

Greatest Common Factor

We found the factors 4456,9864 . The biggest common factor number is the GCF number.
So the greatest common factor 4456,9864 is 8.

Lets's calculate LCM of 642,2567

Given numbers has no common factors except 1. So, there LCM is their product i.e 1648014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1648014

Therefore, the GCF of Fractions 4456/642,9864/2567 is 8/1648014

Least Common Multiple of 642,2567 with GCF Formula

Least Common Multiple of 642,2567 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 642,2567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,2567) = 1

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

GCF(642,2567) x common factors =1 x 1 = 1

LCM(642,2567) = ( 642 × 2567 ) / 1

LCM(642,2567) = 1648014 / 1

LCM(642,2567) = 1648014


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 4456/642, 9864/2567

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 4456/642, 9864/2567?

Answer: GCF of Numerators as per given numbers 4456/642, 9864/2567 is

GCF of Numerators i.e. for 4456,9864 is 8

LCM of denominators i.e. for 642,2567 is 1648014.

Thus, GCF of Fractions is 8/1648014.Finally, GCF of Fractions for 4456/642, 9864/2567 is 8/1648014.