Greatest Common Factor of 256/146, 581/121, 996/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 256/146, 581/121, 996/356

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 256/146,581/121,996/356

Given fractions are 256/146,581/121,996/356

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 256,581,996

Greatest Common Factor of Numerators i.e. GCF of 256,581,996 is 1 .

LCM of Denominators means LCM of 146,121,356 as per the given fractions.

LCM of 146,121,356 is 3144548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 256,581,996

GCF of Fractions 256/146,581/121,996/356 is 1/3144548

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

Greatest Common Factor of 256,581,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,581,996 By Matching Biggest Common Factor Method

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 256,581,996 . The biggest common factor number is the GCF number.
So the greatest common factor 256,581,996 is 1.

Lets's calculate LCM of 146,121,356

2 146, 121, 356
73, 121, 178

∴ So the LCM of the given numbers is 2 x 73 x 121 x 178 = 3144548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3144548

Therefore, the GCF of Fractions 256/146,581/121,996/356 is 1/3144548

Least Common Multiple of 146,121,356 with GCF Formula

Least Common Multiple of 146,121,356 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 146,121,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,121,356) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(146,121,356) x common factors =1 x 2 = 2

LCM(146,121,356) = ( 146 × 121 × 356 ) / 2

LCM(146,121,356) = 6289096 / 2

LCM(146,121,356) = 3144548


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 256/146, 581/121, 996/356

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 256/146, 581/121, 996/356?

Answer: GCF of Numerators as per given numbers 256/146, 581/121, 996/356 is

GCF of Numerators i.e. for 256,581,996 is 1

LCM of denominators i.e. for 146,121,356 is 3144548.

Thus, GCF of Fractions is 1/3144548.Finally, GCF of Fractions for 256/146, 581/121, 996/356 is 1/3144548.