Greatest Common Factor of 3964/87, 1591/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3964/87, 1591/303

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 3964/87,1591/303

Given fractions are 3964/87,1591/303

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 3964,1591

Greatest Common Factor of Numerators i.e. GCF of 3964,1591 is 1 .

LCM of Denominators means LCM of 87,303 as per the given fractions.

LCM of 87,303 is 8787 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3964,1591

GCF of Fractions 3964/87,1591/303 is 1/8787

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

Greatest Common Factor of 3964,1591 By Matching Biggest Common Factor Method

Greatest Common Factor of 3964,1591 By Matching Biggest Common Factor Method

Factors of 3964

List of positive integer factors of 3964 that divides 3964 without a remainder.

1,2,4,991,1982,3964

Factors of 1591

List of positive integer factors of 1591 that divides 1591 without a remainder.

1,37,43,1591

Greatest Common Factor

We found the factors 3964,1591 . The biggest common factor number is the GCF number.
So the greatest common factor 3964,1591 is 1.

Lets's calculate LCM of 87,303

3 87, 303
29, 101

∴ So the LCM of the given numbers is 3 x 29 x 101 = 8787

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8787

Therefore, the GCF of Fractions 3964/87,1591/303 is 1/8787

Least Common Multiple of 87,303 with GCF Formula

Least Common Multiple of 87,303 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 87,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,303) = 3

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

GCF(87,303) x common factors =3 x 1 = 3

LCM(87,303) = ( 87 × 303 ) / 3

LCM(87,303) = 26361 / 3

LCM(87,303) = 8787


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 3964/87, 1591/303

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 3964/87, 1591/303?

Answer: GCF of Numerators as per given numbers 3964/87, 1591/303 is

GCF of Numerators i.e. for 3964,1591 is 1

LCM of denominators i.e. for 87,303 is 8787.

Thus, GCF of Fractions is 1/8787.Finally, GCF of Fractions for 3964/87, 1591/303 is 1/8787.