Greatest Common Factor of 6495/99, 6792/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6495/99, 6792/375

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 6495/99,6792/375

Given fractions are 6495/99,6792/375

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 6495,6792

Greatest Common Factor of Numerators i.e. GCF of 6495,6792 is 3 .

LCM of Denominators means LCM of 99,375 as per the given fractions.

LCM of 99,375 is 12375 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6495,6792

GCF of Fractions 6495/99,6792/375 is 3/12375

3 6495, 6792
2165, 2264

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

Greatest Common Factor of 6495,6792 By Matching Biggest Common Factor Method

Greatest Common Factor of 6495,6792 By Matching Biggest Common Factor Method

Factors of 6495

List of positive integer factors of 6495 that divides 6495 without a remainder.

1,3,5,15,433,1299,2165,6495

Factors of 6792

List of positive integer factors of 6792 that divides 6792 without a remainder.

1,2,3,4,6,8,12,24,283,566,849,1132,1698,2264,3396,6792

Greatest Common Factor

We found the factors 6495,6792 . The biggest common factor number is the GCF number.
So the greatest common factor 6495,6792 is 3.

Lets's calculate LCM of 99,375

3 99, 375
33, 125

∴ So the LCM of the given numbers is 3 x 33 x 125 = 12375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12375

Therefore, the GCF of Fractions 6495/99,6792/375 is 3/12375

Least Common Multiple of 99,375 with GCF Formula

Least Common Multiple of 99,375 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 99,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,375) = 3

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

GCF(99,375) x common factors =3 x 1 = 3

LCM(99,375) = ( 99 × 375 ) / 3

LCM(99,375) = 37125 / 3

LCM(99,375) = 12375


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 6495/99, 6792/375

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 6495/99, 6792/375?

Answer: GCF of Numerators as per given numbers 6495/99, 6792/375 is

GCF of Numerators i.e. for 6495,6792 is 3

LCM of denominators i.e. for 99,375 is 12375.

Thus, GCF of Fractions is 3/12375.Finally, GCF of Fractions for 6495/99, 6792/375 is 3/12375.