Greatest Common Factor of 39/961, 32/646, 149/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/961, 32/646, 149/462

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 39/961,32/646,149/462

Given fractions are 39/961,32/646,149/462

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 39,32,149

Greatest Common Factor of Numerators i.e. GCF of 39,32,149 is 1 .

LCM of Denominators means LCM of 961,646,462 as per the given fractions.

LCM of 961,646,462 is 143406186 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,32,149

GCF of Fractions 39/961,32/646,149/462 is 1/143406186

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

Greatest Common Factor of 39,32,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,32,149 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

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 39,32,149 . The biggest common factor number is the GCF number.
So the greatest common factor 39,32,149 is 1.

Lets's calculate LCM of 961,646,462

2 961, 646, 462
961, 323, 231

∴ So the LCM of the given numbers is 2 x 961 x 323 x 231 = 143406186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143406186

Therefore, the GCF of Fractions 39/961,32/646,149/462 is 1/143406186

Least Common Multiple of 961,646,462 with GCF Formula

Least Common Multiple of 961,646,462 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 961,646,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,646,462) = 1

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

GCF(961,646,462) x common factors =1 x 2 = 2

LCM(961,646,462) = ( 961 × 646 × 462 ) / 2

LCM(961,646,462) = 286812372 / 2

LCM(961,646,462) = 143406186


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 39/961, 32/646, 149/462

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 39/961, 32/646, 149/462?

Answer: GCF of Numerators as per given numbers 39/961, 32/646, 149/462 is

GCF of Numerators i.e. for 39,32,149 is 1

LCM of denominators i.e. for 961,646,462 is 143406186.

Thus, GCF of Fractions is 1/143406186.Finally, GCF of Fractions for 39/961, 32/646, 149/462 is 1/143406186.