Greatest Common Factor of 744/387, 407/906, 115/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 744/387, 407/906, 115/664

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 744/387,407/906,115/664

Given fractions are 744/387,407/906,115/664

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 744,407,115

Greatest Common Factor of Numerators i.e. GCF of 744,407,115 is 1 .

LCM of Denominators means LCM of 387,906,664 as per the given fractions.

LCM of 387,906,664 is 38802168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 744,407,115

GCF of Fractions 744/387,407/906,115/664 is 1/38802168

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

Greatest Common Factor of 744,407,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,407,115 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 744,407,115 . The biggest common factor number is the GCF number.
So the greatest common factor 744,407,115 is 1.

Lets's calculate LCM of 387,906,664

2 387, 906, 664
3 387, 453, 332
129, 151, 332

∴ So the LCM of the given numbers is 2 x 3 x 129 x 151 x 332 = 38802168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38802168

Therefore, the GCF of Fractions 744/387,407/906,115/664 is 1/38802168

Least Common Multiple of 387,906,664 with GCF Formula

Least Common Multiple of 387,906,664 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 387,906,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,906,664) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(387,906,664) x common factors =1 x 6 = 6

LCM(387,906,664) = ( 387 × 906 × 664 ) / 6

LCM(387,906,664) = 232813008 / 6

LCM(387,906,664) = 38802168


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 744/387, 407/906, 115/664

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 744/387, 407/906, 115/664?

Answer: GCF of Numerators as per given numbers 744/387, 407/906, 115/664 is

GCF of Numerators i.e. for 744,407,115 is 1

LCM of denominators i.e. for 387,906,664 is 38802168.

Thus, GCF of Fractions is 1/38802168.Finally, GCF of Fractions for 744/387, 407/906, 115/664 is 1/38802168.