Greatest Common Factor of 9412/42, 8268/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9412/42, 8268/436

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 9412/42,8268/436

Given fractions are 9412/42,8268/436

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 9412,8268

Greatest Common Factor of Numerators i.e. GCF of 9412,8268 is 52 .

LCM of Denominators means LCM of 42,436 as per the given fractions.

LCM of 42,436 is 9156 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9412,8268

GCF of Fractions 9412/42,8268/436 is 52/9156

2 9412, 8268
2 4706, 4134
13 2353, 2067
181, 159

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 9412,8268 By Matching Biggest Common Factor Method

Greatest Common Factor of 9412,8268 By Matching Biggest Common Factor Method

Factors of 9412

List of positive integer factors of 9412 that divides 9412 without a remainder.

1,2,4,13,26,52,181,362,724,2353,4706,9412

Factors of 8268

List of positive integer factors of 8268 that divides 8268 without a remainder.

1,2,3,4,6,12,13,26,39,52,53,78,106,156,159,212,318,636,689,1378,2067,2756,4134,8268

Greatest Common Factor

We found the factors 9412,8268 . The biggest common factor number is the GCF number.
So the greatest common factor 9412,8268 is 52.

Lets's calculate LCM of 42,436

2 42, 436
21, 218

∴ So the LCM of the given numbers is 2 x 21 x 218 = 9156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/9156

Therefore, the GCF of Fractions 9412/42,8268/436 is 52/9156

Least Common Multiple of 42,436 with GCF Formula

Least Common Multiple of 42,436 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 42,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,436) = 2

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

GCF(42,436) x common factors =2 x 1 = 2

LCM(42,436) = ( 42 × 436 ) / 2

LCM(42,436) = 18312 / 2

LCM(42,436) = 9156


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 9412/42, 8268/436

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 9412/42, 8268/436?

Answer: GCF of Numerators as per given numbers 9412/42, 8268/436 is

GCF of Numerators i.e. for 9412,8268 is 52

LCM of denominators i.e. for 42,436 is 9156.

Thus, GCF of Fractions is 52/9156.Finally, GCF of Fractions for 9412/42, 8268/436 is 52/9156.