Greatest Common Factor of 149/13, 101/64, 215/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 149/13, 101/64, 215/134

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 149/13,101/64,215/134

Given fractions are 149/13,101/64,215/134

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 149,101,215

Greatest Common Factor of Numerators i.e. GCF of 149,101,215 is 1 .

LCM of Denominators means LCM of 13,64,134 as per the given fractions.

LCM of 13,64,134 is 55744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 149,101,215

GCF of Fractions 149/13,101/64,215/134 is 1/55744

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

Greatest Common Factor of 149,101,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,101,215 By Matching Biggest Common Factor Method

Factors of 149

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

1,149

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 149,101,215 . The biggest common factor number is the GCF number.
So the greatest common factor 149,101,215 is 1.

Lets's calculate LCM of 13,64,134

2 13, 64, 134
13, 32, 67

∴ So the LCM of the given numbers is 2 x 13 x 32 x 67 = 55744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55744

Therefore, the GCF of Fractions 149/13,101/64,215/134 is 1/55744

Least Common Multiple of 13,64,134 with GCF Formula

Least Common Multiple of 13,64,134 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 13,64,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,64,134) = 1

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

GCF(13,64,134) x common factors =1 x 2 = 2

LCM(13,64,134) = ( 13 × 64 × 134 ) / 2

LCM(13,64,134) = 111488 / 2

LCM(13,64,134) = 55744


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 149/13, 101/64, 215/134

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 149/13, 101/64, 215/134?

Answer: GCF of Numerators as per given numbers 149/13, 101/64, 215/134 is

GCF of Numerators i.e. for 149,101,215 is 1

LCM of denominators i.e. for 13,64,134 is 55744.

Thus, GCF of Fractions is 1/55744.Finally, GCF of Fractions for 149/13, 101/64, 215/134 is 1/55744.