Greatest Common Factor of 9720/512, 6507/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9720/512, 6507/973

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 9720/512,6507/973

Given fractions are 9720/512,6507/973

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 9720,6507

Greatest Common Factor of Numerators i.e. GCF of 9720,6507 is 27 .

LCM of Denominators means LCM of 512,973 as per the given fractions.

LCM of 512,973 is 498176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9720,6507

GCF of Fractions 9720/512,6507/973 is 27/498176

3 9720, 6507
3 3240, 2169
3 1080, 723
360, 241

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 9720,6507 By Matching Biggest Common Factor Method

Greatest Common Factor of 9720,6507 By Matching Biggest Common Factor Method

Factors of 9720

List of positive integer factors of 9720 that divides 9720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,243,270,324,360,405,486,540,648,810,972,1080,1215,1620,1944,2430,3240,4860,9720

Factors of 6507

List of positive integer factors of 6507 that divides 6507 without a remainder.

1,3,9,27,241,723,2169,6507

Greatest Common Factor

We found the factors 9720,6507 . The biggest common factor number is the GCF number.
So the greatest common factor 9720,6507 is 27.

Lets's calculate LCM of 512,973

Given numbers has no common factors except 1. So, there LCM is their product i.e 498176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/498176

Therefore, the GCF of Fractions 9720/512,6507/973 is 27/498176

Least Common Multiple of 512,973 with GCF Formula

Least Common Multiple of 512,973 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 512,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,973) = 1

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

GCF(512,973) x common factors =1 x 1 = 1

LCM(512,973) = ( 512 × 973 ) / 1

LCM(512,973) = 498176 / 1

LCM(512,973) = 498176


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 9720/512, 6507/973

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 9720/512, 6507/973?

Answer: GCF of Numerators as per given numbers 9720/512, 6507/973 is

GCF of Numerators i.e. for 9720,6507 is 27

LCM of denominators i.e. for 512,973 is 498176.

Thus, GCF of Fractions is 27/498176.Finally, GCF of Fractions for 9720/512, 6507/973 is 27/498176.