Greatest Common Factor of 6387/699, 1749/5267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6387/699, 1749/5267

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 6387/699,1749/5267

Given fractions are 6387/699,1749/5267

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 6387,1749

Greatest Common Factor of Numerators i.e. GCF of 6387,1749 is 3 .

LCM of Denominators means LCM of 699,5267 as per the given fractions.

LCM of 699,5267 is 3681633 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6387,1749

GCF of Fractions 6387/699,1749/5267 is 3/3681633

3 6387, 1749
2129, 583

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6387,1749 By Matching Biggest Common Factor Method

Greatest Common Factor of 6387,1749 By Matching Biggest Common Factor Method

Factors of 6387

List of positive integer factors of 6387 that divides 6387 without a remainder.

1,3,2129,6387

Factors of 1749

List of positive integer factors of 1749 that divides 1749 without a remainder.

1,3,11,33,53,159,583,1749

Greatest Common Factor

We found the factors 6387,1749 . The biggest common factor number is the GCF number.
So the greatest common factor 6387,1749 is 3.

Lets's calculate LCM of 699,5267

Given numbers has no common factors except 1. So, there LCM is their product i.e 3681633

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3681633

Therefore, the GCF of Fractions 6387/699,1749/5267 is 3/3681633

Least Common Multiple of 699,5267 with GCF Formula

Least Common Multiple of 699,5267 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 699,5267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,5267) = 1

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

GCF(699,5267) x common factors =1 x 1 = 1

LCM(699,5267) = ( 699 × 5267 ) / 1

LCM(699,5267) = 3681633 / 1

LCM(699,5267) = 3681633


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 6387/699, 1749/5267

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 6387/699, 1749/5267?

Answer: GCF of Numerators as per given numbers 6387/699, 1749/5267 is

GCF of Numerators i.e. for 6387,1749 is 3

LCM of denominators i.e. for 699,5267 is 3681633.

Thus, GCF of Fractions is 3/3681633.Finally, GCF of Fractions for 6387/699, 1749/5267 is 3/3681633.