Greatest Common Factor of 162/60, 149/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 162/60, 149/734

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 162/60,149/734

Given fractions are 162/60,149/734

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 162,149

Greatest Common Factor of Numerators i.e. GCF of 162,149 is 1 .

LCM of Denominators means LCM of 60,734 as per the given fractions.

LCM of 60,734 is 22020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 162,149

GCF of Fractions 162/60,149/734 is 1/22020

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

Greatest Common Factor of 162,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,149 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 162,149 . The biggest common factor number is the GCF number.
So the greatest common factor 162,149 is 1.

Lets's calculate LCM of 60,734

2 60, 734
30, 367

∴ So the LCM of the given numbers is 2 x 30 x 367 = 22020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22020

Therefore, the GCF of Fractions 162/60,149/734 is 1/22020

Least Common Multiple of 60,734 with GCF Formula

Least Common Multiple of 60,734 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 60,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,734) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(60,734) x common factors =2 x 1 = 2

LCM(60,734) = ( 60 × 734 ) / 2

LCM(60,734) = 44040 / 2

LCM(60,734) = 22020


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 162/60, 149/734

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 162/60, 149/734?

Answer: GCF of Numerators as per given numbers 162/60, 149/734 is

GCF of Numerators i.e. for 162,149 is 1

LCM of denominators i.e. for 60,734 is 22020.

Thus, GCF of Fractions is 1/22020.Finally, GCF of Fractions for 162/60, 149/734 is 1/22020.