Greatest Common Factor of 9427/142, 9768/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9427/142, 9768/212

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 9427/142,9768/212

Given fractions are 9427/142,9768/212

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 9427,9768

Greatest Common Factor of Numerators i.e. GCF of 9427,9768 is 11 .

LCM of Denominators means LCM of 142,212 as per the given fractions.

LCM of 142,212 is 15052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9427,9768

GCF of Fractions 9427/142,9768/212 is 11/15052

11 9427, 9768
857, 888

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9427,9768 By Matching Biggest Common Factor Method

Greatest Common Factor of 9427,9768 By Matching Biggest Common Factor Method

Factors of 9427

List of positive integer factors of 9427 that divides 9427 without a remainder.

1,11,857,9427

Factors of 9768

List of positive integer factors of 9768 that divides 9768 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,37,44,66,74,88,111,132,148,222,264,296,407,444,814,888,1221,1628,2442,3256,4884,9768

Greatest Common Factor

We found the factors 9427,9768 . The biggest common factor number is the GCF number.
So the greatest common factor 9427,9768 is 11.

Lets's calculate LCM of 142,212

2 142, 212
71, 106

∴ So the LCM of the given numbers is 2 x 71 x 106 = 15052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/15052

Therefore, the GCF of Fractions 9427/142,9768/212 is 11/15052

Least Common Multiple of 142,212 with GCF Formula

Least Common Multiple of 142,212 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 142,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,212) = 2

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

GCF(142,212) x common factors =2 x 1 = 2

LCM(142,212) = ( 142 × 212 ) / 2

LCM(142,212) = 30104 / 2

LCM(142,212) = 15052


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 9427/142, 9768/212

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 9427/142, 9768/212?

Answer: GCF of Numerators as per given numbers 9427/142, 9768/212 is

GCF of Numerators i.e. for 9427,9768 is 11

LCM of denominators i.e. for 142,212 is 15052.

Thus, GCF of Fractions is 11/15052.Finally, GCF of Fractions for 9427/142, 9768/212 is 11/15052.