Greatest Common Factor of 146/57, 220/96, 566/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 146/57, 220/96, 566/756

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 146/57,220/96,566/756

Given fractions are 146/57,220/96,566/756

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 146,220,566

Greatest Common Factor of Numerators i.e. GCF of 146,220,566 is 2 .

LCM of Denominators means LCM of 57,96,756 as per the given fractions.

LCM of 57,96,756 is 114912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 146,220,566

GCF of Fractions 146/57,220/96,566/756 is 2/114912

2 146, 220, 566
73, 110, 283

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 146,220,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,220,566 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

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 146,220,566 . The biggest common factor number is the GCF number.
So the greatest common factor 146,220,566 is 2.

Lets's calculate LCM of 57,96,756

2 57, 96, 756
2 57, 48, 378
3 57, 24, 189
19, 8, 63

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 8 x 63 = 114912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/114912

Therefore, the GCF of Fractions 146/57,220/96,566/756 is 2/114912

Least Common Multiple of 57,96,756 with GCF Formula

Least Common Multiple of 57,96,756 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 57,96,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,96,756) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(57,96,756) x common factors =3 x 12 = 36

LCM(57,96,756) = ( 57 × 96 × 756 ) / 36

LCM(57,96,756) = 4136832 / 36

LCM(57,96,756) = 114912


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 146/57, 220/96, 566/756

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 146/57, 220/96, 566/756?

Answer: GCF of Numerators as per given numbers 146/57, 220/96, 566/756 is

GCF of Numerators i.e. for 146,220,566 is 2

LCM of denominators i.e. for 57,96,756 is 114912.

Thus, GCF of Fractions is 2/114912.Finally, GCF of Fractions for 146/57, 220/96, 566/756 is 2/114912.