Greatest Common Factor of 1953/36, 9657/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1953/36, 9657/723

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 1953/36,9657/723

Given fractions are 1953/36,9657/723

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 1953,9657

Greatest Common Factor of Numerators i.e. GCF of 1953,9657 is 9 .

LCM of Denominators means LCM of 36,723 as per the given fractions.

LCM of 36,723 is 8676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1953,9657

GCF of Fractions 1953/36,9657/723 is 9/8676

3 1953, 9657
3 651, 3219
217, 1073

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 1953,9657 By Matching Biggest Common Factor Method

Greatest Common Factor of 1953,9657 By Matching Biggest Common Factor Method

Factors of 1953

List of positive integer factors of 1953 that divides 1953 without a remainder.

1,3,7,9,21,31,63,93,217,279,651,1953

Factors of 9657

List of positive integer factors of 9657 that divides 9657 without a remainder.

1,3,9,29,37,87,111,261,333,1073,3219,9657

Greatest Common Factor

We found the factors 1953,9657 . The biggest common factor number is the GCF number.
So the greatest common factor 1953,9657 is 9.

Lets's calculate LCM of 36,723

3 36, 723
12, 241

∴ So the LCM of the given numbers is 3 x 12 x 241 = 8676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/8676

Therefore, the GCF of Fractions 1953/36,9657/723 is 9/8676

Least Common Multiple of 36,723 with GCF Formula

Least Common Multiple of 36,723 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 36,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,723) = 3

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

GCF(36,723) x common factors =3 x 1 = 3

LCM(36,723) = ( 36 × 723 ) / 3

LCM(36,723) = 26028 / 3

LCM(36,723) = 8676


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 1953/36, 9657/723

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 1953/36, 9657/723?

Answer: GCF of Numerators as per given numbers 1953/36, 9657/723 is

GCF of Numerators i.e. for 1953,9657 is 9

LCM of denominators i.e. for 36,723 is 8676.

Thus, GCF of Fractions is 9/8676.Finally, GCF of Fractions for 1953/36, 9657/723 is 9/8676.