Greatest Common Factor of 2999/804, 3667/4386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2999/804, 3667/4386

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 2999/804,3667/4386

Given fractions are 2999/804,3667/4386

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 2999,3667

Greatest Common Factor of Numerators i.e. GCF of 2999,3667 is 1 .

LCM of Denominators means LCM of 804,4386 as per the given fractions.

LCM of 804,4386 is 587724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2999,3667

GCF of Fractions 2999/804,3667/4386 is 1/587724

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

Greatest Common Factor of 2999,3667 By Matching Biggest Common Factor Method

Greatest Common Factor of 2999,3667 By Matching Biggest Common Factor Method

Factors of 2999

List of positive integer factors of 2999 that divides 2999 without a remainder.

1,2999

Factors of 3667

List of positive integer factors of 3667 that divides 3667 without a remainder.

1,19,193,3667

Greatest Common Factor

We found the factors 2999,3667 . The biggest common factor number is the GCF number.
So the greatest common factor 2999,3667 is 1.

Lets's calculate LCM of 804,4386

2 804, 4386
3 402, 2193
134, 731

∴ So the LCM of the given numbers is 2 x 3 x 134 x 731 = 587724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/587724

Therefore, the GCF of Fractions 2999/804,3667/4386 is 1/587724

Least Common Multiple of 804,4386 with GCF Formula

Least Common Multiple of 804,4386 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 804,4386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,4386) = 6

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

GCF(804,4386) x common factors =6 x 1 = 6

LCM(804,4386) = ( 804 × 4386 ) / 6

LCM(804,4386) = 3526344 / 6

LCM(804,4386) = 587724


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 2999/804, 3667/4386

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 2999/804, 3667/4386?

Answer: GCF of Numerators as per given numbers 2999/804, 3667/4386 is

GCF of Numerators i.e. for 2999,3667 is 1

LCM of denominators i.e. for 804,4386 is 587724.

Thus, GCF of Fractions is 1/587724.Finally, GCF of Fractions for 2999/804, 3667/4386 is 1/587724.