Greatest Common Factor of 4024/876, 3008/1032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4024/876, 3008/1032

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 4024/876,3008/1032

Given fractions are 4024/876,3008/1032

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 4024,3008

Greatest Common Factor of Numerators i.e. GCF of 4024,3008 is 8 .

LCM of Denominators means LCM of 876,1032 as per the given fractions.

LCM of 876,1032 is 75336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4024,3008

GCF of Fractions 4024/876,3008/1032 is 8/75336

2 4024, 3008
2 2012, 1504
2 1006, 752
503, 376

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

Greatest Common Factor of 4024,3008 By Matching Biggest Common Factor Method

Greatest Common Factor of 4024,3008 By Matching Biggest Common Factor Method

Factors of 4024

List of positive integer factors of 4024 that divides 4024 without a remainder.

1,2,4,8,503,1006,2012,4024

Factors of 3008

List of positive integer factors of 3008 that divides 3008 without a remainder.

1,2,4,8,16,32,47,64,94,188,376,752,1504,3008

Greatest Common Factor

We found the factors 4024,3008 . The biggest common factor number is the GCF number.
So the greatest common factor 4024,3008 is 8.

Lets's calculate LCM of 876,1032

2 876, 1032
2 438, 516
3 219, 258
73, 86

∴ So the LCM of the given numbers is 2 x 2 x 3 x 73 x 86 = 75336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/75336

Therefore, the GCF of Fractions 4024/876,3008/1032 is 8/75336

Least Common Multiple of 876,1032 with GCF Formula

Least Common Multiple of 876,1032 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 876,1032 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,1032) = 12

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

GCF(876,1032) x common factors =12 x 1 = 12

LCM(876,1032) = ( 876 × 1032 ) / 12

LCM(876,1032) = 904032 / 12

LCM(876,1032) = 75336


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 4024/876, 3008/1032

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 4024/876, 3008/1032?

Answer: GCF of Numerators as per given numbers 4024/876, 3008/1032 is

GCF of Numerators i.e. for 4024,3008 is 8

LCM of denominators i.e. for 876,1032 is 75336.

Thus, GCF of Fractions is 8/75336.Finally, GCF of Fractions for 4024/876, 3008/1032 is 8/75336.