Greatest Common Factor of 3031/77, 6279/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3031/77, 6279/330

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 3031/77,6279/330

Given fractions are 3031/77,6279/330

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 3031,6279

Greatest Common Factor of Numerators i.e. GCF of 3031,6279 is 7 .

LCM of Denominators means LCM of 77,330 as per the given fractions.

LCM of 77,330 is 2310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3031,6279

GCF of Fractions 3031/77,6279/330 is 7/2310

7 3031, 6279
433, 897

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3031,6279 By Matching Biggest Common Factor Method

Greatest Common Factor of 3031,6279 By Matching Biggest Common Factor Method

Factors of 3031

List of positive integer factors of 3031 that divides 3031 without a remainder.

1,7,433,3031

Factors of 6279

List of positive integer factors of 6279 that divides 6279 without a remainder.

1,3,7,13,21,23,39,69,91,161,273,299,483,897,2093,6279

Greatest Common Factor

We found the factors 3031,6279 . The biggest common factor number is the GCF number.
So the greatest common factor 3031,6279 is 7.

Lets's calculate LCM of 77,330

11 77, 330
7, 30

∴ So the LCM of the given numbers is 11 x 7 x 30 = 2310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2310

Therefore, the GCF of Fractions 3031/77,6279/330 is 7/2310

Least Common Multiple of 77,330 with GCF Formula

Least Common Multiple of 77,330 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 77,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,330) = 11

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

GCF(77,330) x common factors =11 x 1 = 11

LCM(77,330) = ( 77 × 330 ) / 11

LCM(77,330) = 25410 / 11

LCM(77,330) = 2310


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 3031/77, 6279/330

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 3031/77, 6279/330?

Answer: GCF of Numerators as per given numbers 3031/77, 6279/330 is

GCF of Numerators i.e. for 3031,6279 is 7

LCM of denominators i.e. for 77,330 is 2310.

Thus, GCF of Fractions is 7/2310.Finally, GCF of Fractions for 3031/77, 6279/330 is 7/2310.