Greatest Common Factor of 7137/993, 9525/3251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7137/993, 9525/3251

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 7137/993,9525/3251

Given fractions are 7137/993,9525/3251

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 7137,9525

Greatest Common Factor of Numerators i.e. GCF of 7137,9525 is 3 .

LCM of Denominators means LCM of 993,3251 as per the given fractions.

LCM of 993,3251 is 3228243 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7137,9525

GCF of Fractions 7137/993,9525/3251 is 3/3228243

3 7137, 9525
2379, 3175

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7137,9525 By Matching Biggest Common Factor Method

Greatest Common Factor of 7137,9525 By Matching Biggest Common Factor Method

Factors of 7137

List of positive integer factors of 7137 that divides 7137 without a remainder.

1,3,9,13,39,61,117,183,549,793,2379,7137

Factors of 9525

List of positive integer factors of 9525 that divides 9525 without a remainder.

1,3,5,15,25,75,127,381,635,1905,3175,9525

Greatest Common Factor

We found the factors 7137,9525 . The biggest common factor number is the GCF number.
So the greatest common factor 7137,9525 is 3.

Lets's calculate LCM of 993,3251

Given numbers has no common factors except 1. So, there LCM is their product i.e 3228243

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3228243

Therefore, the GCF of Fractions 7137/993,9525/3251 is 3/3228243

Least Common Multiple of 993,3251 with GCF Formula

Least Common Multiple of 993,3251 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 993,3251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,3251) = 1

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

GCF(993,3251) x common factors =1 x 1 = 1

LCM(993,3251) = ( 993 × 3251 ) / 1

LCM(993,3251) = 3228243 / 1

LCM(993,3251) = 3228243


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 7137/993, 9525/3251

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 7137/993, 9525/3251?

Answer: GCF of Numerators as per given numbers 7137/993, 9525/3251 is

GCF of Numerators i.e. for 7137,9525 is 3

LCM of denominators i.e. for 993,3251 is 3228243.

Thus, GCF of Fractions is 3/3228243.Finally, GCF of Fractions for 7137/993, 9525/3251 is 3/3228243.