Greatest Common Factor of 470/18, 863/93, 108/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 470/18, 863/93, 108/762

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 470/18,863/93,108/762

Given fractions are 470/18,863/93,108/762

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 470,863,108

Greatest Common Factor of Numerators i.e. GCF of 470,863,108 is 1 .

LCM of Denominators means LCM of 18,93,762 as per the given fractions.

LCM of 18,93,762 is 70866 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 470,863,108

GCF of Fractions 470/18,863/93,108/762 is 1/70866

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

Greatest Common Factor of 470,863,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,863,108 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 470,863,108 . The biggest common factor number is the GCF number.
So the greatest common factor 470,863,108 is 1.

Lets's calculate LCM of 18,93,762

2 18, 93, 762
3 9, 93, 381
3, 31, 127

∴ So the LCM of the given numbers is 2 x 3 x 3 x 31 x 127 = 70866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70866

Therefore, the GCF of Fractions 470/18,863/93,108/762 is 1/70866

Least Common Multiple of 18,93,762 with GCF Formula

Least Common Multiple of 18,93,762 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 18,93,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,93,762) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(18,93,762) x common factors =3 x 6 = 18

LCM(18,93,762) = ( 18 × 93 × 762 ) / 18

LCM(18,93,762) = 1275588 / 18

LCM(18,93,762) = 70866


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 470/18, 863/93, 108/762

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 470/18, 863/93, 108/762?

Answer: GCF of Numerators as per given numbers 470/18, 863/93, 108/762 is

GCF of Numerators i.e. for 470,863,108 is 1

LCM of denominators i.e. for 18,93,762 is 70866.

Thus, GCF of Fractions is 1/70866.Finally, GCF of Fractions for 470/18, 863/93, 108/762 is 1/70866.