Greatest Common Factor of 401/70, 730/18, 572/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 401/70, 730/18, 572/180

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 401/70,730/18,572/180

Given fractions are 401/70,730/18,572/180

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 401,730,572

Greatest Common Factor of Numerators i.e. GCF of 401,730,572 is 1 .

LCM of Denominators means LCM of 70,18,180 as per the given fractions.

LCM of 70,18,180 is 1260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 401,730,572

GCF of Fractions 401/70,730/18,572/180 is 1/1260

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

Greatest Common Factor of 401,730,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 401,730,572 By Matching Biggest Common Factor Method

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 401,730,572 . The biggest common factor number is the GCF number.
So the greatest common factor 401,730,572 is 1.

Lets's calculate LCM of 70,18,180

2 70, 18, 180
3 35, 9, 90
3 35, 3, 30
5 35, 1, 10
7, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 7 x 1 x 2 = 1260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1260

Therefore, the GCF of Fractions 401/70,730/18,572/180 is 1/1260

Least Common Multiple of 70,18,180 with GCF Formula

Least Common Multiple of 70,18,180 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 70,18,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,18,180) = 2

common factors(in case of two or more numbers have common factors) = 90

GCF(70,18,180) x common factors =2 x 90 = 180

LCM(70,18,180) = ( 70 × 18 × 180 ) / 180

LCM(70,18,180) = 226800 / 180

LCM(70,18,180) = 1260


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 401/70, 730/18, 572/180

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 401/70, 730/18, 572/180?

Answer: GCF of Numerators as per given numbers 401/70, 730/18, 572/180 is

GCF of Numerators i.e. for 401,730,572 is 1

LCM of denominators i.e. for 70,18,180 is 1260.

Thus, GCF of Fractions is 1/1260.Finally, GCF of Fractions for 401/70, 730/18, 572/180 is 1/1260.