Greatest Common Factor of 9657/276, 3837/9430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9657/276, 3837/9430

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 9657/276,3837/9430

Given fractions are 9657/276,3837/9430

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 9657,3837

Greatest Common Factor of Numerators i.e. GCF of 9657,3837 is 3 .

LCM of Denominators means LCM of 276,9430 as per the given fractions.

LCM of 276,9430 is 56580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9657,3837

GCF of Fractions 9657/276,3837/9430 is 3/56580

3 9657, 3837
3219, 1279

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

Greatest Common Factor of 9657,3837 By Matching Biggest Common Factor Method

Greatest Common Factor of 9657,3837 By Matching Biggest Common Factor Method

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

Factors of 3837

List of positive integer factors of 3837 that divides 3837 without a remainder.

1,3,1279,3837

Greatest Common Factor

We found the factors 9657,3837 . The biggest common factor number is the GCF number.
So the greatest common factor 9657,3837 is 3.

Lets's calculate LCM of 276,9430

2 276, 9430
23 138, 4715
6, 205

∴ So the LCM of the given numbers is 2 x 23 x 6 x 205 = 56580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/56580

Therefore, the GCF of Fractions 9657/276,3837/9430 is 3/56580

Least Common Multiple of 276,9430 with GCF Formula

Least Common Multiple of 276,9430 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 276,9430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,9430) = 46

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

GCF(276,9430) x common factors =46 x 1 = 46

LCM(276,9430) = ( 276 × 9430 ) / 46

LCM(276,9430) = 2602680 / 46

LCM(276,9430) = 56580


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 9657/276, 3837/9430

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 9657/276, 3837/9430?

Answer: GCF of Numerators as per given numbers 9657/276, 3837/9430 is

GCF of Numerators i.e. for 9657,3837 is 3

LCM of denominators i.e. for 276,9430 is 56580.

Thus, GCF of Fractions is 3/56580.Finally, GCF of Fractions for 9657/276, 3837/9430 is 3/56580.