Greatest Common Factor of 657/800, 960/566, 474/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 657/800, 960/566, 474/655

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 657/800,960/566,474/655

Given fractions are 657/800,960/566,474/655

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 657,960,474

Greatest Common Factor of Numerators i.e. GCF of 657,960,474 is 3 .

LCM of Denominators means LCM of 800,566,655 as per the given fractions.

LCM of 800,566,655 is 29658400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 657,960,474

GCF of Fractions 657/800,960/566,474/655 is 3/29658400

3 657, 960, 474
219, 320, 158

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 657,960,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,960,474 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 657,960,474 . The biggest common factor number is the GCF number.
So the greatest common factor 657,960,474 is 3.

Lets's calculate LCM of 800,566,655

2 800, 566, 655
5 400, 283, 655
80, 283, 131

∴ So the LCM of the given numbers is 2 x 5 x 80 x 283 x 131 = 29658400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/29658400

Therefore, the GCF of Fractions 657/800,960/566,474/655 is 3/29658400

Least Common Multiple of 800,566,655 with GCF Formula

Least Common Multiple of 800,566,655 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 800,566,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,566,655) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(800,566,655) x common factors =1 x 10 = 10

LCM(800,566,655) = ( 800 × 566 × 655 ) / 10

LCM(800,566,655) = 296584000 / 10

LCM(800,566,655) = 29658400


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 657/800, 960/566, 474/655

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 657/800, 960/566, 474/655?

Answer: GCF of Numerators as per given numbers 657/800, 960/566, 474/655 is

GCF of Numerators i.e. for 657,960,474 is 3

LCM of denominators i.e. for 800,566,655 is 29658400.

Thus, GCF of Fractions is 3/29658400.Finally, GCF of Fractions for 657/800, 960/566, 474/655 is 3/29658400.