Greatest Common Factor of 903/648, 9723/7535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 903/648, 9723/7535

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 903/648,9723/7535

Given fractions are 903/648,9723/7535

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 903,9723

Greatest Common Factor of Numerators i.e. GCF of 903,9723 is 21 .

LCM of Denominators means LCM of 648,7535 as per the given fractions.

LCM of 648,7535 is 4882680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 903,9723

GCF of Fractions 903/648,9723/7535 is 21/4882680

3 903, 9723
7 301, 3241
43, 463

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 903,9723 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,9723 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 9723

List of positive integer factors of 9723 that divides 9723 without a remainder.

1,3,7,21,463,1389,3241,9723

Greatest Common Factor

We found the factors 903,9723 . The biggest common factor number is the GCF number.
So the greatest common factor 903,9723 is 21.

Lets's calculate LCM of 648,7535

Given numbers has no common factors except 1. So, there LCM is their product i.e 4882680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/4882680

Therefore, the GCF of Fractions 903/648,9723/7535 is 21/4882680

Least Common Multiple of 648,7535 with GCF Formula

Least Common Multiple of 648,7535 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 648,7535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,7535) = 1

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

GCF(648,7535) x common factors =1 x 1 = 1

LCM(648,7535) = ( 648 × 7535 ) / 1

LCM(648,7535) = 4882680 / 1

LCM(648,7535) = 4882680


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 903/648, 9723/7535

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 903/648, 9723/7535?

Answer: GCF of Numerators as per given numbers 903/648, 9723/7535 is

GCF of Numerators i.e. for 903,9723 is 21

LCM of denominators i.e. for 648,7535 is 4882680.

Thus, GCF of Fractions is 21/4882680.Finally, GCF of Fractions for 903/648, 9723/7535 is 21/4882680.