Greatest Common Factor of 285/24, 338/74, 253/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 285/24, 338/74, 253/159

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 285/24,338/74,253/159

Given fractions are 285/24,338/74,253/159

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 285,338,253

Greatest Common Factor of Numerators i.e. GCF of 285,338,253 is 1 .

LCM of Denominators means LCM of 24,74,159 as per the given fractions.

LCM of 24,74,159 is 47064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 285,338,253

GCF of Fractions 285/24,338/74,253/159 is 1/47064

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

Greatest Common Factor of 285,338,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,338,253 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 285,338,253 . The biggest common factor number is the GCF number.
So the greatest common factor 285,338,253 is 1.

Lets's calculate LCM of 24,74,159

2 24, 74, 159
3 12, 37, 159
4, 37, 53

∴ So the LCM of the given numbers is 2 x 3 x 4 x 37 x 53 = 47064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47064

Therefore, the GCF of Fractions 285/24,338/74,253/159 is 1/47064

Least Common Multiple of 24,74,159 with GCF Formula

Least Common Multiple of 24,74,159 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 24,74,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,74,159) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(24,74,159) x common factors =1 x 6 = 6

LCM(24,74,159) = ( 24 × 74 × 159 ) / 6

LCM(24,74,159) = 282384 / 6

LCM(24,74,159) = 47064


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 285/24, 338/74, 253/159

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 285/24, 338/74, 253/159?

Answer: GCF of Numerators as per given numbers 285/24, 338/74, 253/159 is

GCF of Numerators i.e. for 285,338,253 is 1

LCM of denominators i.e. for 24,74,159 is 47064.

Thus, GCF of Fractions is 1/47064.Finally, GCF of Fractions for 285/24, 338/74, 253/159 is 1/47064.