Greatest Common Factor of 6484/313, 3077/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6484/313, 3077/118

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 6484/313,3077/118

Given fractions are 6484/313,3077/118

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 6484,3077

Greatest Common Factor of Numerators i.e. GCF of 6484,3077 is 1 .

LCM of Denominators means LCM of 313,118 as per the given fractions.

LCM of 313,118 is 36934 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6484,3077

GCF of Fractions 6484/313,3077/118 is 1/36934

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6484,3077 By Matching Biggest Common Factor Method

Greatest Common Factor of 6484,3077 By Matching Biggest Common Factor Method

Factors of 6484

List of positive integer factors of 6484 that divides 6484 without a remainder.

1,2,4,1621,3242,6484

Factors of 3077

List of positive integer factors of 3077 that divides 3077 without a remainder.

1,17,181,3077

Greatest Common Factor

We found the factors 6484,3077 . The biggest common factor number is the GCF number.
So the greatest common factor 6484,3077 is 1.

Lets's calculate LCM of 313,118

Given numbers has no common factors except 1. So, there LCM is their product i.e 36934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36934

Therefore, the GCF of Fractions 6484/313,3077/118 is 1/36934

Least Common Multiple of 313,118 with GCF Formula

Least Common Multiple of 313,118 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 313,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,118) = 1

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

GCF(313,118) x common factors =1 x 1 = 1

LCM(313,118) = ( 313 × 118 ) / 1

LCM(313,118) = 36934 / 1

LCM(313,118) = 36934


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 6484/313, 3077/118

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 6484/313, 3077/118?

Answer: GCF of Numerators as per given numbers 6484/313, 3077/118 is

GCF of Numerators i.e. for 6484,3077 is 1

LCM of denominators i.e. for 313,118 is 36934.

Thus, GCF of Fractions is 1/36934.Finally, GCF of Fractions for 6484/313, 3077/118 is 1/36934.