Greatest Common Factor of 864/243, 694/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 864/243, 694/119

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 864/243,694/119

Given fractions are 864/243,694/119

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 864,694

Greatest Common Factor of Numerators i.e. GCF of 864,694 is 2 .

LCM of Denominators means LCM of 243,119 as per the given fractions.

LCM of 243,119 is 28917 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 864,694

GCF of Fractions 864/243,694/119 is 2/28917

2 864, 694
432, 347

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

Greatest Common Factor of 864,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,694 By Matching Biggest Common Factor Method

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 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 864,694 . The biggest common factor number is the GCF number.
So the greatest common factor 864,694 is 2.

Lets's calculate LCM of 243,119

Given numbers has no common factors except 1. So, there LCM is their product i.e 28917

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28917

Therefore, the GCF of Fractions 864/243,694/119 is 2/28917

Least Common Multiple of 243,119 with GCF Formula

Least Common Multiple of 243,119 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 243,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,119) = 1

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

GCF(243,119) x common factors =1 x 1 = 1

LCM(243,119) = ( 243 × 119 ) / 1

LCM(243,119) = 28917 / 1

LCM(243,119) = 28917


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 864/243, 694/119

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 864/243, 694/119?

Answer: GCF of Numerators as per given numbers 864/243, 694/119 is

GCF of Numerators i.e. for 864,694 is 2

LCM of denominators i.e. for 243,119 is 28917.

Thus, GCF of Fractions is 2/28917.Finally, GCF of Fractions for 864/243, 694/119 is 2/28917.