Greatest Common Factor of 2978/682, 2626/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2978/682, 2626/732

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 2978/682,2626/732

Given fractions are 2978/682,2626/732

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 2978,2626

Greatest Common Factor of Numerators i.e. GCF of 2978,2626 is 2 .

LCM of Denominators means LCM of 682,732 as per the given fractions.

LCM of 682,732 is 249612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2978,2626

GCF of Fractions 2978/682,2626/732 is 2/249612

2 2978, 2626
1489, 1313

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

Greatest Common Factor of 2978,2626 By Matching Biggest Common Factor Method

Greatest Common Factor of 2978,2626 By Matching Biggest Common Factor Method

Factors of 2978

List of positive integer factors of 2978 that divides 2978 without a remainder.

1,2,1489,2978

Factors of 2626

List of positive integer factors of 2626 that divides 2626 without a remainder.

1,2,13,26,101,202,1313,2626

Greatest Common Factor

We found the factors 2978,2626 . The biggest common factor number is the GCF number.
So the greatest common factor 2978,2626 is 2.

Lets's calculate LCM of 682,732

2 682, 732
341, 366

∴ So the LCM of the given numbers is 2 x 341 x 366 = 249612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/249612

Therefore, the GCF of Fractions 2978/682,2626/732 is 2/249612

Least Common Multiple of 682,732 with GCF Formula

Least Common Multiple of 682,732 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 682,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,732) = 2

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

GCF(682,732) x common factors =2 x 1 = 2

LCM(682,732) = ( 682 × 732 ) / 2

LCM(682,732) = 499224 / 2

LCM(682,732) = 249612


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 2978/682, 2626/732

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 2978/682, 2626/732?

Answer: GCF of Numerators as per given numbers 2978/682, 2626/732 is

GCF of Numerators i.e. for 2978,2626 is 2

LCM of denominators i.e. for 682,732 is 249612.

Thus, GCF of Fractions is 2/249612.Finally, GCF of Fractions for 2978/682, 2626/732 is 2/249612.