Greatest Common Factor of 861/473, 864/450, 494/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 861/473, 864/450, 494/864

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 861/473,864/450,494/864

Given fractions are 861/473,864/450,494/864

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 861,864,494

Greatest Common Factor of Numerators i.e. GCF of 861,864,494 is 1 .

LCM of Denominators means LCM of 473,450,864 as per the given fractions.

LCM of 473,450,864 is 10216800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 861,864,494

GCF of Fractions 861/473,864/450,494/864 is 1/10216800

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

Greatest Common Factor of 861,864,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,864,494 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 861,864,494 . The biggest common factor number is the GCF number.
So the greatest common factor 861,864,494 is 1.

Lets's calculate LCM of 473,450,864

2 473, 450, 864
3 473, 225, 432
3 473, 75, 144
473, 25, 48

∴ So the LCM of the given numbers is 2 x 3 x 3 x 473 x 25 x 48 = 10216800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10216800

Therefore, the GCF of Fractions 861/473,864/450,494/864 is 1/10216800

Least Common Multiple of 473,450,864 with GCF Formula

Least Common Multiple of 473,450,864 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 473,450,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,450,864) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(473,450,864) x common factors =1 x 18 = 18

LCM(473,450,864) = ( 473 × 450 × 864 ) / 18

LCM(473,450,864) = 183902400 / 18

LCM(473,450,864) = 10216800


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 861/473, 864/450, 494/864

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 861/473, 864/450, 494/864?

Answer: GCF of Numerators as per given numbers 861/473, 864/450, 494/864 is

GCF of Numerators i.e. for 861,864,494 is 1

LCM of denominators i.e. for 473,450,864 is 10216800.

Thus, GCF of Fractions is 1/10216800.Finally, GCF of Fractions for 861/473, 864/450, 494/864 is 1/10216800.