Greatest Common Factor of 602/468, 400/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 602/468, 400/555

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 602/468,400/555

Given fractions are 602/468,400/555

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 602,400

Greatest Common Factor of Numerators i.e. GCF of 602,400 is 2 .

LCM of Denominators means LCM of 468,555 as per the given fractions.

LCM of 468,555 is 86580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 602,400

GCF of Fractions 602/468,400/555 is 2/86580

2 602, 400
301, 200

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 602,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,400 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 602,400 . The biggest common factor number is the GCF number.
So the greatest common factor 602,400 is 2.

Lets's calculate LCM of 468,555

3 468, 555
156, 185

∴ So the LCM of the given numbers is 3 x 156 x 185 = 86580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/86580

Therefore, the GCF of Fractions 602/468,400/555 is 2/86580

Least Common Multiple of 468,555 with GCF Formula

Least Common Multiple of 468,555 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 468,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,555) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(468,555) x common factors =3 x 1 = 3

LCM(468,555) = ( 468 × 555 ) / 3

LCM(468,555) = 259740 / 3

LCM(468,555) = 86580


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 602/468, 400/555

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 602/468, 400/555?

Answer: GCF of Numerators as per given numbers 602/468, 400/555 is

GCF of Numerators i.e. for 602,400 is 2

LCM of denominators i.e. for 468,555 is 86580.

Thus, GCF of Fractions is 2/86580.Finally, GCF of Fractions for 602/468, 400/555 is 2/86580.