Greatest Common Factor of 6005/677, 9435/3994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6005/677, 9435/3994

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 6005/677,9435/3994

Given fractions are 6005/677,9435/3994

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 6005,9435

Greatest Common Factor of Numerators i.e. GCF of 6005,9435 is 5 .

LCM of Denominators means LCM of 677,3994 as per the given fractions.

LCM of 677,3994 is 2703938 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6005,9435

GCF of Fractions 6005/677,9435/3994 is 5/2703938

5 6005, 9435
1201, 1887

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6005,9435 By Matching Biggest Common Factor Method

Greatest Common Factor of 6005,9435 By Matching Biggest Common Factor Method

Factors of 6005

List of positive integer factors of 6005 that divides 6005 without a remainder.

1,5,1201,6005

Factors of 9435

List of positive integer factors of 9435 that divides 9435 without a remainder.

1,3,5,15,17,37,51,85,111,185,255,555,629,1887,3145,9435

Greatest Common Factor

We found the factors 6005,9435 . The biggest common factor number is the GCF number.
So the greatest common factor 6005,9435 is 5.

Lets's calculate LCM of 677,3994

Given numbers has no common factors except 1. So, there LCM is their product i.e 2703938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2703938

Therefore, the GCF of Fractions 6005/677,9435/3994 is 5/2703938

Least Common Multiple of 677,3994 with GCF Formula

Least Common Multiple of 677,3994 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 677,3994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,3994) = 1

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

GCF(677,3994) x common factors =1 x 1 = 1

LCM(677,3994) = ( 677 × 3994 ) / 1

LCM(677,3994) = 2703938 / 1

LCM(677,3994) = 2703938


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 6005/677, 9435/3994

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 6005/677, 9435/3994?

Answer: GCF of Numerators as per given numbers 6005/677, 9435/3994 is

GCF of Numerators i.e. for 6005,9435 is 5

LCM of denominators i.e. for 677,3994 is 2703938.

Thus, GCF of Fractions is 5/2703938.Finally, GCF of Fractions for 6005/677, 9435/3994 is 5/2703938.