Greatest Common Factor of 6443/462, 7499/487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6443/462, 7499/487

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 6443/462,7499/487

Given fractions are 6443/462,7499/487

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 6443,7499

Greatest Common Factor of Numerators i.e. GCF of 6443,7499 is 1 .

LCM of Denominators means LCM of 462,487 as per the given fractions.

LCM of 462,487 is 224994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6443,7499

GCF of Fractions 6443/462,7499/487 is 1/224994

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

Greatest Common Factor of 6443,7499 By Matching Biggest Common Factor Method

Greatest Common Factor of 6443,7499 By Matching Biggest Common Factor Method

Factors of 6443

List of positive integer factors of 6443 that divides 6443 without a remainder.

1,17,379,6443

Factors of 7499

List of positive integer factors of 7499 that divides 7499 without a remainder.

1,7499

Greatest Common Factor

We found the factors 6443,7499 . The biggest common factor number is the GCF number.
So the greatest common factor 6443,7499 is 1.


Lets's calculate LCM of 462,487

Given numbers has no common factors except 1. So, there LCM is their product i.e 224994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224994

Therefore, the GCF of Fractions 6443/462,7499/487 is 1/224994

Least Common Multiple of 462,487 with GCF Formula

Least Common Multiple of 462,487 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 462,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,487) = 1

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

GCF(462,487) x common factors =1 x 1 = 1

LCM(462,487) = ( 462 × 487 ) / 1

LCM(462,487) = 224994 / 1

LCM(462,487) = 224994


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 6443/462, 7499/487

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 6443/462, 7499/487?

Answer: GCF of Numerators as per given numbers 6443/462, 7499/487 is

GCF of Numerators i.e. for 6443,7499 is 1

LCM of denominators i.e. for 462,487 is 224994.

Thus, GCF of Fractions is 1/224994.Finally, GCF of Fractions for 6443/462, 7499/487 is 1/224994.