Greatest Common Factor of 2724/607, 7548/8650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2724/607, 7548/8650

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 2724/607,7548/8650

Given fractions are 2724/607,7548/8650

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 2724,7548

Greatest Common Factor of Numerators i.e. GCF of 2724,7548 is 12 .

LCM of Denominators means LCM of 607,8650 as per the given fractions.

LCM of 607,8650 is 5250550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2724,7548

GCF of Fractions 2724/607,7548/8650 is 12/5250550

2 2724, 7548
2 1362, 3774
3 681, 1887
227, 629

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 2724,7548 By Matching Biggest Common Factor Method

Greatest Common Factor of 2724,7548 By Matching Biggest Common Factor Method

Factors of 2724

List of positive integer factors of 2724 that divides 2724 without a remainder.

1,2,3,4,6,12,227,454,681,908,1362,2724

Factors of 7548

List of positive integer factors of 7548 that divides 7548 without a remainder.

1,2,3,4,6,12,17,34,37,51,68,74,102,111,148,204,222,444,629,1258,1887,2516,3774,7548

Greatest Common Factor

We found the factors 2724,7548 . The biggest common factor number is the GCF number.
So the greatest common factor 2724,7548 is 12.

Lets's calculate LCM of 607,8650

Given numbers has no common factors except 1. So, there LCM is their product i.e 5250550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/5250550

Therefore, the GCF of Fractions 2724/607,7548/8650 is 12/5250550

Least Common Multiple of 607,8650 with GCF Formula

Least Common Multiple of 607,8650 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 607,8650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,8650) = 1

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

GCF(607,8650) x common factors =1 x 1 = 1

LCM(607,8650) = ( 607 × 8650 ) / 1

LCM(607,8650) = 5250550 / 1

LCM(607,8650) = 5250550


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 2724/607, 7548/8650

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 2724/607, 7548/8650?

Answer: GCF of Numerators as per given numbers 2724/607, 7548/8650 is

GCF of Numerators i.e. for 2724,7548 is 12

LCM of denominators i.e. for 607,8650 is 5250550.

Thus, GCF of Fractions is 12/5250550.Finally, GCF of Fractions for 2724/607, 7548/8650 is 12/5250550.