Greatest Common Factor of 1/32, 30/34, 20/965, 150/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/32, 30/34, 20/965, 150/408

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 1/32,30/34,20/965,150/408

Given fractions are 1/32,30/34,20/965,150/408

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 1,30,20,150

Greatest Common Factor of Numerators i.e. GCF of 1,30,20,150 is 1 .

LCM of Denominators means LCM of 32,34,965,408 as per the given fractions.

LCM of 32,34,965,408 is 1574880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,30,20,150

GCF of Fractions 1/32,30/34,20/965,150/408 is 1/1574880

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

Greatest Common Factor of 1,30,20,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,30,20,150 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 1,30,20,150 . The biggest common factor number is the GCF number.
So the greatest common factor 1,30,20,150 is 1.

Lets's calculate LCM of 32,34,965,408

2 32, 34, 965, 408
2 16, 17, 965, 204
2 8, 17, 965, 102
17 4, 17, 965, 51
4, 1, 965, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 4 x 1 x 965 x 3 = 1574880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1574880

Therefore, the GCF of Fractions 1/32,30/34,20/965,150/408 is 1/1574880

Least Common Multiple of 32,34,965,408 with GCF Formula

Least Common Multiple of 32,34,965,408 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 32,34,965,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,34,965,408) = 1

common factors(in case of two or more numbers have common factors) = 272

GCF(32,34,965,408) x common factors =1 x 272 = 272

LCM(32,34,965,408) = ( 32 × 34 × 965 × 408 ) / 272

LCM(32,34,965,408) = 428367360 / 272

LCM(32,34,965,408) = 1574880


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 1/32, 30/34, 20/965, 150/408

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 1/32, 30/34, 20/965, 150/408?

Answer: GCF of Numerators as per given numbers 1/32, 30/34, 20/965, 150/408 is

GCF of Numerators i.e. for 1,30,20,150 is 1

LCM of denominators i.e. for 32,34,965,408 is 1574880.

Thus, GCF of Fractions is 1/1574880.Finally, GCF of Fractions for 1/32, 30/34, 20/965, 150/408 is 1/1574880.