Greatest Common Factor of 318/2355, 304/4627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 318/2355, 304/4627

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 318/2355,304/4627

Given fractions are 318/2355,304/4627

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 318,304

Greatest Common Factor of Numerators i.e. GCF of 318,304 is 2 .

LCM of Denominators means LCM of 2355,4627 as per the given fractions.

LCM of 2355,4627 is 10896585 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 318,304

GCF of Fractions 318/2355,304/4627 is 2/10896585

2 318, 304
159, 152

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 318,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,304 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 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 318,304 . The biggest common factor number is the GCF number.
So the greatest common factor 318,304 is 2.

Lets's calculate LCM of 2355,4627

Given numbers has no common factors except 1. So, there LCM is their product i.e 10896585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10896585

Therefore, the GCF of Fractions 318/2355,304/4627 is 2/10896585

Least Common Multiple of 2355,4627 with GCF Formula

Least Common Multiple of 2355,4627 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 2355,4627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2355,4627) = 1

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

GCF(2355,4627) x common factors =1 x 1 = 1

LCM(2355,4627) = ( 2355 × 4627 ) / 1

LCM(2355,4627) = 10896585 / 1

LCM(2355,4627) = 10896585


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 318/2355, 304/4627

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 318/2355, 304/4627?

Answer: GCF of Numerators as per given numbers 318/2355, 304/4627 is

GCF of Numerators i.e. for 318,304 is 2

LCM of denominators i.e. for 2355,4627 is 10896585.

Thus, GCF of Fractions is 2/10896585.Finally, GCF of Fractions for 318/2355, 304/4627 is 2/10896585.