Greatest Common Factor of 463/64, 155/80, 566/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 463/64, 155/80, 566/155

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 463/64,155/80,566/155

Given fractions are 463/64,155/80,566/155

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 463,155,566

Greatest Common Factor of Numerators i.e. GCF of 463,155,566 is 1 .

LCM of Denominators means LCM of 64,80,155 as per the given fractions.

LCM of 64,80,155 is 9920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 463,155,566

GCF of Fractions 463/64,155/80,566/155 is 1/9920

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

Greatest Common Factor of 463,155,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,155,566 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 463,155,566 . The biggest common factor number is the GCF number.
So the greatest common factor 463,155,566 is 1.

Lets's calculate LCM of 64,80,155

2 64, 80, 155
2 32, 40, 155
2 16, 20, 155
2 8, 10, 155
5 4, 5, 155
4, 1, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 4 x 1 x 31 = 9920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9920

Therefore, the GCF of Fractions 463/64,155/80,566/155 is 1/9920

Least Common Multiple of 64,80,155 with GCF Formula

Least Common Multiple of 64,80,155 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 64,80,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,80,155) = 1

common factors(in case of two or more numbers have common factors) = 80

GCF(64,80,155) x common factors =1 x 80 = 80

LCM(64,80,155) = ( 64 × 80 × 155 ) / 80

LCM(64,80,155) = 793600 / 80

LCM(64,80,155) = 9920


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 463/64, 155/80, 566/155

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 463/64, 155/80, 566/155?

Answer: GCF of Numerators as per given numbers 463/64, 155/80, 566/155 is

GCF of Numerators i.e. for 463,155,566 is 1

LCM of denominators i.e. for 64,80,155 is 9920.

Thus, GCF of Fractions is 1/9920.Finally, GCF of Fractions for 463/64, 155/80, 566/155 is 1/9920.