Greatest Common Factor of 4242/828, 9567/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4242/828, 9567/132

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 4242/828,9567/132

Given fractions are 4242/828,9567/132

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 4242,9567

Greatest Common Factor of Numerators i.e. GCF of 4242,9567 is 3 .

LCM of Denominators means LCM of 828,132 as per the given fractions.

LCM of 828,132 is 9108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4242,9567

GCF of Fractions 4242/828,9567/132 is 3/9108

3 4242, 9567
1414, 3189

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

Greatest Common Factor of 4242,9567 By Matching Biggest Common Factor Method

Greatest Common Factor of 4242,9567 By Matching Biggest Common Factor Method

Factors of 4242

List of positive integer factors of 4242 that divides 4242 without a remainder.

1,2,3,6,7,14,21,42,101,202,303,606,707,1414,2121,4242

Factors of 9567

List of positive integer factors of 9567 that divides 9567 without a remainder.

1,3,9,1063,3189,9567

Greatest Common Factor

We found the factors 4242,9567 . The biggest common factor number is the GCF number.
So the greatest common factor 4242,9567 is 3.

Lets's calculate LCM of 828,132

2 828, 132
2 414, 66
3 207, 33
69, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 69 x 11 = 9108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9108

Therefore, the GCF of Fractions 4242/828,9567/132 is 3/9108

Least Common Multiple of 828,132 with GCF Formula

Least Common Multiple of 828,132 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 828,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,132) = 12

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

GCF(828,132) x common factors =12 x 1 = 12

LCM(828,132) = ( 828 × 132 ) / 12

LCM(828,132) = 109296 / 12

LCM(828,132) = 9108


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4242/828, 9567/132

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 4242/828, 9567/132?

Answer: GCF of Numerators as per given numbers 4242/828, 9567/132 is

GCF of Numerators i.e. for 4242,9567 is 3

LCM of denominators i.e. for 828,132 is 9108.

Thus, GCF of Fractions is 3/9108.Finally, GCF of Fractions for 4242/828, 9567/132 is 3/9108.