Greatest Common Factor of 3132/276, 5634/9101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3132/276, 5634/9101

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 3132/276,5634/9101

Given fractions are 3132/276,5634/9101

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 3132,5634

Greatest Common Factor of Numerators i.e. GCF of 3132,5634 is 18 .

LCM of Denominators means LCM of 276,9101 as per the given fractions.

LCM of 276,9101 is 2511876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3132,5634

GCF of Fractions 3132/276,5634/9101 is 18/2511876

2 3132, 5634
3 1566, 2817
3 522, 939
174, 313

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 3132,5634 By Matching Biggest Common Factor Method

Greatest Common Factor of 3132,5634 By Matching Biggest Common Factor Method

Factors of 3132

List of positive integer factors of 3132 that divides 3132 without a remainder.

1,2,3,4,6,9,12,18,27,29,36,54,58,87,108,116,174,261,348,522,783,1044,1566,3132

Factors of 5634

List of positive integer factors of 5634 that divides 5634 without a remainder.

1,2,3,6,9,18,313,626,939,1878,2817,5634

Greatest Common Factor

We found the factors 3132,5634 . The biggest common factor number is the GCF number.
So the greatest common factor 3132,5634 is 18.

Lets's calculate LCM of 276,9101

Given numbers has no common factors except 1. So, there LCM is their product i.e 2511876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/2511876

Therefore, the GCF of Fractions 3132/276,5634/9101 is 18/2511876

Least Common Multiple of 276,9101 with GCF Formula

Least Common Multiple of 276,9101 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 276,9101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,9101) = 1

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

GCF(276,9101) x common factors =1 x 1 = 1

LCM(276,9101) = ( 276 × 9101 ) / 1

LCM(276,9101) = 2511876 / 1

LCM(276,9101) = 2511876


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 3132/276, 5634/9101

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 3132/276, 5634/9101?

Answer: GCF of Numerators as per given numbers 3132/276, 5634/9101 is

GCF of Numerators i.e. for 3132,5634 is 18

LCM of denominators i.e. for 276,9101 is 2511876.

Thus, GCF of Fractions is 18/2511876.Finally, GCF of Fractions for 3132/276, 5634/9101 is 18/2511876.