Greatest Common Factor of 4/70, 21/82, 64/389, 387/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/70, 21/82, 64/389, 387/150

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 4/70,21/82,64/389,387/150

Given fractions are 4/70,21/82,64/389,387/150

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 4,21,64,387

Greatest Common Factor of Numerators i.e. GCF of 4,21,64,387 is 1 .

LCM of Denominators means LCM of 70,82,389,150 as per the given fractions.

LCM of 70,82,389,150 is 16746450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,21,64,387

GCF of Fractions 4/70,21/82,64/389,387/150 is 1/16746450

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

Greatest Common Factor of 4,21,64,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,21,64,387 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 4,21,64,387 . The biggest common factor number is the GCF number.
So the greatest common factor 4,21,64,387 is 1.

Lets's calculate LCM of 70,82,389,150

2 70, 82, 389, 150
5 35, 41, 389, 75
7, 41, 389, 15

∴ So the LCM of the given numbers is 2 x 5 x 7 x 41 x 389 x 15 = 16746450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16746450

Therefore, the GCF of Fractions 4/70,21/82,64/389,387/150 is 1/16746450

Least Common Multiple of 70,82,389,150 with GCF Formula

Least Common Multiple of 70,82,389,150 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 70,82,389,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,82,389,150) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(70,82,389,150) x common factors =1 x 20 = 20

LCM(70,82,389,150) = ( 70 × 82 × 389 × 150 ) / 20

LCM(70,82,389,150) = 334929000 / 20

LCM(70,82,389,150) = 16746450


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 4/70, 21/82, 64/389, 387/150

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 4/70, 21/82, 64/389, 387/150?

Answer: GCF of Numerators as per given numbers 4/70, 21/82, 64/389, 387/150 is

GCF of Numerators i.e. for 4,21,64,387 is 1

LCM of denominators i.e. for 70,82,389,150 is 16746450.

Thus, GCF of Fractions is 1/16746450.Finally, GCF of Fractions for 4/70, 21/82, 64/389, 387/150 is 1/16746450.