Greatest Common Factor of 174/50, 789/59, 153/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 174/50, 789/59, 153/256

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 174/50,789/59,153/256

Given fractions are 174/50,789/59,153/256

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 174,789,153

Greatest Common Factor of Numerators i.e. GCF of 174,789,153 is 3 .

LCM of Denominators means LCM of 50,59,256 as per the given fractions.

LCM of 50,59,256 is 377600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 174,789,153

GCF of Fractions 174/50,789/59,153/256 is 3/377600

3 174, 789, 153
58, 263, 51

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

Greatest Common Factor of 174,789,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,789,153 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 174,789,153 . The biggest common factor number is the GCF number.
So the greatest common factor 174,789,153 is 3.

Lets's calculate LCM of 50,59,256

2 50, 59, 256
25, 59, 128

∴ So the LCM of the given numbers is 2 x 25 x 59 x 128 = 377600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/377600

Therefore, the GCF of Fractions 174/50,789/59,153/256 is 3/377600

Least Common Multiple of 50,59,256 with GCF Formula

Least Common Multiple of 50,59,256 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 50,59,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,59,256) = 1

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

GCF(50,59,256) x common factors =1 x 2 = 2

LCM(50,59,256) = ( 50 × 59 × 256 ) / 2

LCM(50,59,256) = 755200 / 2

LCM(50,59,256) = 377600


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 174/50, 789/59, 153/256

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 174/50, 789/59, 153/256?

Answer: GCF of Numerators as per given numbers 174/50, 789/59, 153/256 is

GCF of Numerators i.e. for 174,789,153 is 3

LCM of denominators i.e. for 50,59,256 is 377600.

Thus, GCF of Fractions is 3/377600.Finally, GCF of Fractions for 174/50, 789/59, 153/256 is 3/377600.