Greatest Common Factor of 865/697, 885/873, 238/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 865/697, 885/873, 238/642

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 865/697,885/873,238/642

Given fractions are 865/697,885/873,238/642

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 865,885,238

Greatest Common Factor of Numerators i.e. GCF of 865,885,238 is 1 .

LCM of Denominators means LCM of 697,873,642 as per the given fractions.

LCM of 697,873,642 is 130214934 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 865,885,238

GCF of Fractions 865/697,885/873,238/642 is 1/130214934

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

Greatest Common Factor of 865,885,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,885,238 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 865,885,238 . The biggest common factor number is the GCF number.
So the greatest common factor 865,885,238 is 1.

Lets's calculate LCM of 697,873,642

3 697, 873, 642
697, 291, 214

∴ So the LCM of the given numbers is 3 x 697 x 291 x 214 = 130214934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130214934

Therefore, the GCF of Fractions 865/697,885/873,238/642 is 1/130214934

Least Common Multiple of 697,873,642 with GCF Formula

Least Common Multiple of 697,873,642 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 697,873,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,873,642) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(697,873,642) x common factors =1 x 3 = 3

LCM(697,873,642) = ( 697 × 873 × 642 ) / 3

LCM(697,873,642) = 390644802 / 3

LCM(697,873,642) = 130214934


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 865/697, 885/873, 238/642

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 865/697, 885/873, 238/642?

Answer: GCF of Numerators as per given numbers 865/697, 885/873, 238/642 is

GCF of Numerators i.e. for 865,885,238 is 1

LCM of denominators i.e. for 697,873,642 is 130214934.

Thus, GCF of Fractions is 1/130214934.Finally, GCF of Fractions for 865/697, 885/873, 238/642 is 1/130214934.