Greatest Common Factor of 3155/652, 2995/6966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3155/652, 2995/6966

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 3155/652,2995/6966

Given fractions are 3155/652,2995/6966

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 3155,2995

Greatest Common Factor of Numerators i.e. GCF of 3155,2995 is 5 .

LCM of Denominators means LCM of 652,6966 as per the given fractions.

LCM of 652,6966 is 2270916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3155,2995

GCF of Fractions 3155/652,2995/6966 is 5/2270916

5 3155, 2995
631, 599

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3155,2995 By Matching Biggest Common Factor Method

Greatest Common Factor of 3155,2995 By Matching Biggest Common Factor Method

Factors of 3155

List of positive integer factors of 3155 that divides 3155 without a remainder.

1,5,631,3155

Factors of 2995

List of positive integer factors of 2995 that divides 2995 without a remainder.

1,5,599,2995

Greatest Common Factor

We found the factors 3155,2995 . The biggest common factor number is the GCF number.
So the greatest common factor 3155,2995 is 5.

Lets's calculate LCM of 652,6966

2 652, 6966
326, 3483

∴ So the LCM of the given numbers is 2 x 326 x 3483 = 2270916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2270916

Therefore, the GCF of Fractions 3155/652,2995/6966 is 5/2270916

Least Common Multiple of 652,6966 with GCF Formula

Least Common Multiple of 652,6966 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 652,6966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,6966) = 2

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

GCF(652,6966) x common factors =2 x 1 = 2

LCM(652,6966) = ( 652 × 6966 ) / 2

LCM(652,6966) = 4541832 / 2

LCM(652,6966) = 2270916


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 3155/652, 2995/6966

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 3155/652, 2995/6966?

Answer: GCF of Numerators as per given numbers 3155/652, 2995/6966 is

GCF of Numerators i.e. for 3155,2995 is 5

LCM of denominators i.e. for 652,6966 is 2270916.

Thus, GCF of Fractions is 5/2270916.Finally, GCF of Fractions for 3155/652, 2995/6966 is 5/2270916.