Greatest Common Factor of 864/764, 398/130, 205/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 864/764, 398/130, 205/714

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 864/764,398/130,205/714

Given fractions are 864/764,398/130,205/714

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 864,398,205

Greatest Common Factor of Numerators i.e. GCF of 864,398,205 is 1 .

LCM of Denominators means LCM of 764,130,714 as per the given fractions.

LCM of 764,130,714 is 17728620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 864,398,205

GCF of Fractions 864/764,398/130,205/714 is 1/17728620

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

Greatest Common Factor of 864,398,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,398,205 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 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 864,398,205 . The biggest common factor number is the GCF number.
So the greatest common factor 864,398,205 is 1.

Lets's calculate LCM of 764,130,714

2 764, 130, 714
382, 65, 357

∴ So the LCM of the given numbers is 2 x 382 x 65 x 357 = 17728620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17728620

Therefore, the GCF of Fractions 864/764,398/130,205/714 is 1/17728620

Least Common Multiple of 764,130,714 with GCF Formula

Least Common Multiple of 764,130,714 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 764,130,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,130,714) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(764,130,714) x common factors =2 x 2 = 4

LCM(764,130,714) = ( 764 × 130 × 714 ) / 4

LCM(764,130,714) = 70914480 / 4

LCM(764,130,714) = 17728620


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 864/764, 398/130, 205/714

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 864/764, 398/130, 205/714?

Answer: GCF of Numerators as per given numbers 864/764, 398/130, 205/714 is

GCF of Numerators i.e. for 864,398,205 is 1

LCM of denominators i.e. for 764,130,714 is 17728620.

Thus, GCF of Fractions is 1/17728620.Finally, GCF of Fractions for 864/764, 398/130, 205/714 is 1/17728620.