Greatest Common Factor of 1187/39, 5636/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1187/39, 5636/786

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 1187/39,5636/786

Given fractions are 1187/39,5636/786

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 1187,5636

Greatest Common Factor of Numerators i.e. GCF of 1187,5636 is 1 .

LCM of Denominators means LCM of 39,786 as per the given fractions.

LCM of 39,786 is 10218 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1187,5636

GCF of Fractions 1187/39,5636/786 is 1/10218

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

Greatest Common Factor of 1187,5636 By Matching Biggest Common Factor Method

Greatest Common Factor of 1187,5636 By Matching Biggest Common Factor Method

Factors of 1187

List of positive integer factors of 1187 that divides 1187 without a remainder.

1,1187

Factors of 5636

List of positive integer factors of 5636 that divides 5636 without a remainder.

1,2,4,1409,2818,5636

Greatest Common Factor

We found the factors 1187,5636 . The biggest common factor number is the GCF number.
So the greatest common factor 1187,5636 is 1.

Lets's calculate LCM of 39,786

3 39, 786
13, 262

∴ So the LCM of the given numbers is 3 x 13 x 262 = 10218

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10218

Therefore, the GCF of Fractions 1187/39,5636/786 is 1/10218

Least Common Multiple of 39,786 with GCF Formula

Least Common Multiple of 39,786 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 39,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,786) = 3

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

GCF(39,786) x common factors =3 x 1 = 3

LCM(39,786) = ( 39 × 786 ) / 3

LCM(39,786) = 30654 / 3

LCM(39,786) = 10218


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 1187/39, 5636/786

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 1187/39, 5636/786?

Answer: GCF of Numerators as per given numbers 1187/39, 5636/786 is

GCF of Numerators i.e. for 1187,5636 is 1

LCM of denominators i.e. for 39,786 is 10218.

Thus, GCF of Fractions is 1/10218.Finally, GCF of Fractions for 1187/39, 5636/786 is 1/10218.