Greatest Common Factor of 3651/966, 5817/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3651/966, 5817/138

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 3651/966,5817/138

Given fractions are 3651/966,5817/138

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 3651,5817

Greatest Common Factor of Numerators i.e. GCF of 3651,5817 is 3 .

LCM of Denominators means LCM of 966,138 as per the given fractions.

LCM of 966,138 is 966 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3651,5817

GCF of Fractions 3651/966,5817/138 is 3/966

3 3651, 5817
1217, 1939

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

Greatest Common Factor of 3651,5817 By Matching Biggest Common Factor Method

Greatest Common Factor of 3651,5817 By Matching Biggest Common Factor Method

Factors of 3651

List of positive integer factors of 3651 that divides 3651 without a remainder.

1,3,1217,3651

Factors of 5817

List of positive integer factors of 5817 that divides 5817 without a remainder.

1,3,7,21,277,831,1939,5817

Greatest Common Factor

We found the factors 3651,5817 . The biggest common factor number is the GCF number.
So the greatest common factor 3651,5817 is 3.

Lets's calculate LCM of 966,138

2 966, 138
3 483, 69
23 161, 23
7, 1

∴ So the LCM of the given numbers is 2 x 3 x 23 x 7 x 1 = 966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/966

Therefore, the GCF of Fractions 3651/966,5817/138 is 3/966

Least Common Multiple of 966,138 with GCF Formula

Least Common Multiple of 966,138 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 966,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,138) = 138

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

GCF(966,138) x common factors =138 x 1 = 138

LCM(966,138) = ( 966 × 138 ) / 138

LCM(966,138) = 133308 / 138

LCM(966,138) = 966


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 3651/966, 5817/138

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 3651/966, 5817/138?

Answer: GCF of Numerators as per given numbers 3651/966, 5817/138 is

GCF of Numerators i.e. for 3651,5817 is 3

LCM of denominators i.e. for 966,138 is 966.

Thus, GCF of Fractions is 3/966.Finally, GCF of Fractions for 3651/966, 5817/138 is 3/966.