Greatest Common Factor of 9348/556, 1536/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9348/556, 1536/846

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 9348/556,1536/846

Given fractions are 9348/556,1536/846

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 9348,1536

Greatest Common Factor of Numerators i.e. GCF of 9348,1536 is 12 .

LCM of Denominators means LCM of 556,846 as per the given fractions.

LCM of 556,846 is 235188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9348,1536

GCF of Fractions 9348/556,1536/846 is 12/235188

2 9348, 1536
2 4674, 768
3 2337, 384
779, 128

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

Greatest Common Factor of 9348,1536 By Matching Biggest Common Factor Method

Greatest Common Factor of 9348,1536 By Matching Biggest Common Factor Method

Factors of 9348

List of positive integer factors of 9348 that divides 9348 without a remainder.

1,2,3,4,6,12,19,38,41,57,76,82,114,123,164,228,246,492,779,1558,2337,3116,4674,9348

Factors of 1536

List of positive integer factors of 1536 that divides 1536 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1536

Greatest Common Factor

We found the factors 9348,1536 . The biggest common factor number is the GCF number.
So the greatest common factor 9348,1536 is 12.

Lets's calculate LCM of 556,846

2 556, 846
278, 423

∴ So the LCM of the given numbers is 2 x 278 x 423 = 235188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/235188

Therefore, the GCF of Fractions 9348/556,1536/846 is 12/235188

Least Common Multiple of 556,846 with GCF Formula

Least Common Multiple of 556,846 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 556,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,846) = 2

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

GCF(556,846) x common factors =2 x 1 = 2

LCM(556,846) = ( 556 × 846 ) / 2

LCM(556,846) = 470376 / 2

LCM(556,846) = 235188


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 9348/556, 1536/846

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 9348/556, 1536/846?

Answer: GCF of Numerators as per given numbers 9348/556, 1536/846 is

GCF of Numerators i.e. for 9348,1536 is 12

LCM of denominators i.e. for 556,846 is 235188.

Thus, GCF of Fractions is 12/235188.Finally, GCF of Fractions for 9348/556, 1536/846 is 12/235188.