Greatest Common Factor of 318/156, 9348/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 318/156, 9348/367

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 318/156,9348/367

Given fractions are 318/156,9348/367

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 318,9348

Greatest Common Factor of Numerators i.e. GCF of 318,9348 is 6 .

LCM of Denominators means LCM of 156,367 as per the given fractions.

LCM of 156,367 is 57252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 318,9348

GCF of Fractions 318/156,9348/367 is 6/57252

2 318, 9348
3 159, 4674
53, 1558

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 318,9348 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,9348 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

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

Greatest Common Factor

We found the factors 318,9348 . The biggest common factor number is the GCF number.
So the greatest common factor 318,9348 is 6.

Lets's calculate LCM of 156,367

Given numbers has no common factors except 1. So, there LCM is their product i.e 57252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/57252

Therefore, the GCF of Fractions 318/156,9348/367 is 6/57252

Least Common Multiple of 156,367 with GCF Formula

Least Common Multiple of 156,367 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 156,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,367) = 1

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

GCF(156,367) x common factors =1 x 1 = 1

LCM(156,367) = ( 156 × 367 ) / 1

LCM(156,367) = 57252 / 1

LCM(156,367) = 57252


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 318/156, 9348/367

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 318/156, 9348/367?

Answer: GCF of Numerators as per given numbers 318/156, 9348/367 is

GCF of Numerators i.e. for 318,9348 is 6

LCM of denominators i.e. for 156,367 is 57252.

Thus, GCF of Fractions is 6/57252.Finally, GCF of Fractions for 318/156, 9348/367 is 6/57252.