Greatest Common Factor of 7548/138, 1037/6675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7548/138, 1037/6675

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 7548/138,1037/6675

Given fractions are 7548/138,1037/6675

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 7548,1037

Greatest Common Factor of Numerators i.e. GCF of 7548,1037 is 17 .

LCM of Denominators means LCM of 138,6675 as per the given fractions.

LCM of 138,6675 is 307050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7548,1037

GCF of Fractions 7548/138,1037/6675 is 17/307050

17 7548, 1037
444, 61

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 7548,1037 By Matching Biggest Common Factor Method

Greatest Common Factor of 7548,1037 By Matching Biggest Common Factor Method

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

Factors of 1037

List of positive integer factors of 1037 that divides 1037 without a remainder.

1,17,61,1037

Greatest Common Factor

We found the factors 7548,1037 . The biggest common factor number is the GCF number.
So the greatest common factor 7548,1037 is 17.

Lets's calculate LCM of 138,6675

3 138, 6675
46, 2225

∴ So the LCM of the given numbers is 3 x 46 x 2225 = 307050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/307050

Therefore, the GCF of Fractions 7548/138,1037/6675 is 17/307050

Least Common Multiple of 138,6675 with GCF Formula

Least Common Multiple of 138,6675 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 138,6675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,6675) = 3

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

GCF(138,6675) x common factors =3 x 1 = 3

LCM(138,6675) = ( 138 × 6675 ) / 3

LCM(138,6675) = 921150 / 3

LCM(138,6675) = 307050


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 7548/138, 1037/6675

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 7548/138, 1037/6675?

Answer: GCF of Numerators as per given numbers 7548/138, 1037/6675 is

GCF of Numerators i.e. for 7548,1037 is 17

LCM of denominators i.e. for 138,6675 is 307050.

Thus, GCF of Fractions is 17/307050.Finally, GCF of Fractions for 7548/138, 1037/6675 is 17/307050.