Greatest Common Factor of 147/32, 606/52, 419/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 147/32, 606/52, 419/40

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 147/32,606/52,419/40

Given fractions are 147/32,606/52,419/40

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 147,606,419

Greatest Common Factor of Numerators i.e. GCF of 147,606,419 is 1 .

LCM of Denominators means LCM of 32,52,40 as per the given fractions.

LCM of 32,52,40 is 2080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 147,606,419

GCF of Fractions 147/32,606/52,419/40 is 1/2080

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

Greatest Common Factor of 147,606,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,606,419 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 147,606,419 . The biggest common factor number is the GCF number.
So the greatest common factor 147,606,419 is 1.

Lets's calculate LCM of 32,52,40

2 32, 52, 40
2 16, 26, 20
2 8, 13, 10
4, 13, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 13 x 5 = 2080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2080

Therefore, the GCF of Fractions 147/32,606/52,419/40 is 1/2080

Least Common Multiple of 32,52,40 with GCF Formula

Least Common Multiple of 32,52,40 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 32,52,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,52,40) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(32,52,40) x common factors =4 x 8 = 32

LCM(32,52,40) = ( 32 × 52 × 40 ) / 32

LCM(32,52,40) = 66560 / 32

LCM(32,52,40) = 2080


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 147/32, 606/52, 419/40

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 147/32, 606/52, 419/40?

Answer: GCF of Numerators as per given numbers 147/32, 606/52, 419/40 is

GCF of Numerators i.e. for 147,606,419 is 1

LCM of denominators i.e. for 32,52,40 is 2080.

Thus, GCF of Fractions is 1/2080.Finally, GCF of Fractions for 147/32, 606/52, 419/40 is 1/2080.