Greatest Common Factor of 132/107, 4212/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 132/107, 4212/476

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 132/107,4212/476

Given fractions are 132/107,4212/476

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 132,4212

Greatest Common Factor of Numerators i.e. GCF of 132,4212 is 12 .

LCM of Denominators means LCM of 107,476 as per the given fractions.

LCM of 107,476 is 50932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 132,4212

GCF of Fractions 132/107,4212/476 is 12/50932

2 132, 4212
2 66, 2106
3 33, 1053
11, 351

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 132,4212 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,4212 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 4212

List of positive integer factors of 4212 that divides 4212 without a remainder.

1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,81,108,117,156,162,234,324,351,468,702,1053,1404,2106,4212

Greatest Common Factor

We found the factors 132,4212 . The biggest common factor number is the GCF number.
So the greatest common factor 132,4212 is 12.

Lets's calculate LCM of 107,476

Given numbers has no common factors except 1. So, there LCM is their product i.e 50932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/50932

Therefore, the GCF of Fractions 132/107,4212/476 is 12/50932

Least Common Multiple of 107,476 with GCF Formula

Least Common Multiple of 107,476 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 107,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,476) = 1

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

GCF(107,476) x common factors =1 x 1 = 1

LCM(107,476) = ( 107 × 476 ) / 1

LCM(107,476) = 50932 / 1

LCM(107,476) = 50932


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 132/107, 4212/476

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 132/107, 4212/476?

Answer: GCF of Numerators as per given numbers 132/107, 4212/476 is

GCF of Numerators i.e. for 132,4212 is 12

LCM of denominators i.e. for 107,476 is 50932.

Thus, GCF of Fractions is 12/50932.Finally, GCF of Fractions for 132/107, 4212/476 is 12/50932.