Greatest Common Factor of 615/706, 5674/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/706, 5674/744

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 615/706,5674/744

Given fractions are 615/706,5674/744

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 615,5674

Greatest Common Factor of Numerators i.e. GCF of 615,5674 is 1 .

LCM of Denominators means LCM of 706,744 as per the given fractions.

LCM of 706,744 is 262632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,5674

GCF of Fractions 615/706,5674/744 is 1/262632

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

Greatest Common Factor of 615,5674 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,5674 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 5674

List of positive integer factors of 5674 that divides 5674 without a remainder.

1,2,2837,5674

Greatest Common Factor

We found the factors 615,5674 . The biggest common factor number is the GCF number.
So the greatest common factor 615,5674 is 1.

Lets's calculate LCM of 706,744

2 706, 744
353, 372

∴ So the LCM of the given numbers is 2 x 353 x 372 = 262632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262632

Therefore, the GCF of Fractions 615/706,5674/744 is 1/262632

Least Common Multiple of 706,744 with GCF Formula

Least Common Multiple of 706,744 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 706,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,744) = 2

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

GCF(706,744) x common factors =2 x 1 = 2

LCM(706,744) = ( 706 × 744 ) / 2

LCM(706,744) = 525264 / 2

LCM(706,744) = 262632


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 615/706, 5674/744

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 615/706, 5674/744?

Answer: GCF of Numerators as per given numbers 615/706, 5674/744 is

GCF of Numerators i.e. for 615,5674 is 1

LCM of denominators i.e. for 706,744 is 262632.

Thus, GCF of Fractions is 1/262632.Finally, GCF of Fractions for 615/706, 5674/744 is 1/262632.