Greatest Common Factor of 2552/744, 2672/8711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2552/744, 2672/8711

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 2552/744,2672/8711

Given fractions are 2552/744,2672/8711

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 2552,2672

Greatest Common Factor of Numerators i.e. GCF of 2552,2672 is 8 .

LCM of Denominators means LCM of 744,8711 as per the given fractions.

LCM of 744,8711 is 209064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2552,2672

GCF of Fractions 2552/744,2672/8711 is 8/209064

2 2552, 2672
2 1276, 1336
2 638, 668
319, 334

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

Greatest Common Factor of 2552,2672 By Matching Biggest Common Factor Method

Greatest Common Factor of 2552,2672 By Matching Biggest Common Factor Method

Factors of 2552

List of positive integer factors of 2552 that divides 2552 without a remainder.

1,2,4,8,11,22,29,44,58,88,116,232,319,638,1276,2552

Factors of 2672

List of positive integer factors of 2672 that divides 2672 without a remainder.

1,2,4,8,16,167,334,668,1336,2672

Greatest Common Factor

We found the factors 2552,2672 . The biggest common factor number is the GCF number.
So the greatest common factor 2552,2672 is 8.

Lets's calculate LCM of 744,8711

31 744, 8711
24, 281

∴ So the LCM of the given numbers is 31 x 24 x 281 = 209064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/209064

Therefore, the GCF of Fractions 2552/744,2672/8711 is 8/209064

Least Common Multiple of 744,8711 with GCF Formula

Least Common Multiple of 744,8711 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 744,8711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,8711) = 31

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

GCF(744,8711) x common factors =31 x 1 = 31

LCM(744,8711) = ( 744 × 8711 ) / 31

LCM(744,8711) = 6480984 / 31

LCM(744,8711) = 209064


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 2552/744, 2672/8711

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 2552/744, 2672/8711?

Answer: GCF of Numerators as per given numbers 2552/744, 2672/8711 is

GCF of Numerators i.e. for 2552,2672 is 8

LCM of denominators i.e. for 744,8711 is 209064.

Thus, GCF of Fractions is 8/209064.Finally, GCF of Fractions for 2552/744, 2672/8711 is 8/209064.