Greatest Common Factor of 6585/97, 5475/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6585/97, 5475/513

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 6585/97,5475/513

Given fractions are 6585/97,5475/513

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 6585,5475

Greatest Common Factor of Numerators i.e. GCF of 6585,5475 is 15 .

LCM of Denominators means LCM of 97,513 as per the given fractions.

LCM of 97,513 is 49761 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6585,5475

GCF of Fractions 6585/97,5475/513 is 15/49761

3 6585, 5475
5 2195, 1825
439, 365

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 6585,5475 By Matching Biggest Common Factor Method

Greatest Common Factor of 6585,5475 By Matching Biggest Common Factor Method

Factors of 6585

List of positive integer factors of 6585 that divides 6585 without a remainder.

1,3,5,15,439,1317,2195,6585

Factors of 5475

List of positive integer factors of 5475 that divides 5475 without a remainder.

1,3,5,15,25,73,75,219,365,1095,1825,5475

Greatest Common Factor

We found the factors 6585,5475 . The biggest common factor number is the GCF number.
So the greatest common factor 6585,5475 is 15.

Lets's calculate LCM of 97,513

Given numbers has no common factors except 1. So, there LCM is their product i.e 49761

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/49761

Therefore, the GCF of Fractions 6585/97,5475/513 is 15/49761

Least Common Multiple of 97,513 with GCF Formula

Least Common Multiple of 97,513 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 97,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,513) = 1

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

GCF(97,513) x common factors =1 x 1 = 1

LCM(97,513) = ( 97 × 513 ) / 1

LCM(97,513) = 49761 / 1

LCM(97,513) = 49761


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 6585/97, 5475/513

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 6585/97, 5475/513?

Answer: GCF of Numerators as per given numbers 6585/97, 5475/513 is

GCF of Numerators i.e. for 6585,5475 is 15

LCM of denominators i.e. for 97,513 is 49761.

Thus, GCF of Fractions is 15/49761.Finally, GCF of Fractions for 6585/97, 5475/513 is 15/49761.