Greatest Common Factor of 759/258, 296/384, 450/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 759/258, 296/384, 450/477

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 759/258,296/384,450/477

Given fractions are 759/258,296/384,450/477

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 759,296,450

Greatest Common Factor of Numerators i.e. GCF of 759,296,450 is 1 .

LCM of Denominators means LCM of 258,384,477 as per the given fractions.

LCM of 258,384,477 is 2625408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 759,296,450

GCF of Fractions 759/258,296/384,450/477 is 1/2625408

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

Greatest Common Factor of 759,296,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,296,450 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 759,296,450 . The biggest common factor number is the GCF number.
So the greatest common factor 759,296,450 is 1.

Lets's calculate LCM of 258,384,477

2 258, 384, 477
3 129, 192, 477
43, 64, 159

∴ So the LCM of the given numbers is 2 x 3 x 43 x 64 x 159 = 2625408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2625408

Therefore, the GCF of Fractions 759/258,296/384,450/477 is 1/2625408

Least Common Multiple of 258,384,477 with GCF Formula

Least Common Multiple of 258,384,477 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 258,384,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,384,477) = 3

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

GCF(258,384,477) x common factors =3 x 6 = 18

LCM(258,384,477) = ( 258 × 384 × 477 ) / 18

LCM(258,384,477) = 47257344 / 18

LCM(258,384,477) = 2625408


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 759/258, 296/384, 450/477

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 759/258, 296/384, 450/477?

Answer: GCF of Numerators as per given numbers 759/258, 296/384, 450/477 is

GCF of Numerators i.e. for 759,296,450 is 1

LCM of denominators i.e. for 258,384,477 is 2625408.

Thus, GCF of Fractions is 1/2625408.Finally, GCF of Fractions for 759/258, 296/384, 450/477 is 1/2625408.