Greatest Common Factor of 86/636, 5997/7467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 86/636, 5997/7467

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 86/636,5997/7467

Given fractions are 86/636,5997/7467

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 86,5997

Greatest Common Factor of Numerators i.e. GCF of 86,5997 is 1 .

LCM of Denominators means LCM of 636,7467 as per the given fractions.

LCM of 636,7467 is 1583004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 86,5997

GCF of Fractions 86/636,5997/7467 is 1/1583004

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

Greatest Common Factor of 86,5997 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,5997 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 5997

List of positive integer factors of 5997 that divides 5997 without a remainder.

1,3,1999,5997

Greatest Common Factor

We found the factors 86,5997 . The biggest common factor number is the GCF number.
So the greatest common factor 86,5997 is 1.

Lets's calculate LCM of 636,7467

3 636, 7467
212, 2489

∴ So the LCM of the given numbers is 3 x 212 x 2489 = 1583004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1583004

Therefore, the GCF of Fractions 86/636,5997/7467 is 1/1583004

Least Common Multiple of 636,7467 with GCF Formula

Least Common Multiple of 636,7467 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 636,7467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,7467) = 3

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

GCF(636,7467) x common factors =3 x 1 = 3

LCM(636,7467) = ( 636 × 7467 ) / 3

LCM(636,7467) = 4749012 / 3

LCM(636,7467) = 1583004


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 86/636, 5997/7467

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 86/636, 5997/7467?

Answer: GCF of Numerators as per given numbers 86/636, 5997/7467 is

GCF of Numerators i.e. for 86,5997 is 1

LCM of denominators i.e. for 636,7467 is 1583004.

Thus, GCF of Fractions is 1/1583004.Finally, GCF of Fractions for 86/636, 5997/7467 is 1/1583004.