Greatest Common Factor of 148/57, 735/81, 144/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 148/57, 735/81, 144/185

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 148/57,735/81,144/185

Given fractions are 148/57,735/81,144/185

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 148,735,144

Greatest Common Factor of Numerators i.e. GCF of 148,735,144 is 1 .

LCM of Denominators means LCM of 57,81,185 as per the given fractions.

LCM of 57,81,185 is 284715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 148,735,144

GCF of Fractions 148/57,735/81,144/185 is 1/284715

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

Greatest Common Factor of 148,735,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,735,144 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 148,735,144 . The biggest common factor number is the GCF number.
So the greatest common factor 148,735,144 is 1.

Lets's calculate LCM of 57,81,185

3 57, 81, 185
19, 27, 185

∴ So the LCM of the given numbers is 3 x 19 x 27 x 185 = 284715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284715

Therefore, the GCF of Fractions 148/57,735/81,144/185 is 1/284715

Least Common Multiple of 57,81,185 with GCF Formula

Least Common Multiple of 57,81,185 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 57,81,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,81,185) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(57,81,185) x common factors =1 x 3 = 3

LCM(57,81,185) = ( 57 × 81 × 185 ) / 3

LCM(57,81,185) = 854145 / 3

LCM(57,81,185) = 284715


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 148/57, 735/81, 144/185

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 148/57, 735/81, 144/185?

Answer: GCF of Numerators as per given numbers 148/57, 735/81, 144/185 is

GCF of Numerators i.e. for 148,735,144 is 1

LCM of denominators i.e. for 57,81,185 is 284715.

Thus, GCF of Fractions is 1/284715.Finally, GCF of Fractions for 148/57, 735/81, 144/185 is 1/284715.