Greatest Common Factor of 446/6731, 249/6812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 446/6731, 249/6812

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 446/6731,249/6812

Given fractions are 446/6731,249/6812

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 446,249

Greatest Common Factor of Numerators i.e. GCF of 446,249 is 1 .

LCM of Denominators means LCM of 6731,6812 as per the given fractions.

LCM of 6731,6812 is 45851572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 446,249

GCF of Fractions 446/6731,249/6812 is 1/45851572

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

Greatest Common Factor of 446,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,249 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 446,249 . The biggest common factor number is the GCF number.
So the greatest common factor 446,249 is 1.

Lets's calculate LCM of 6731,6812

Given numbers has no common factors except 1. So, there LCM is their product i.e 45851572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45851572

Therefore, the GCF of Fractions 446/6731,249/6812 is 1/45851572

Least Common Multiple of 6731,6812 with GCF Formula

Least Common Multiple of 6731,6812 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 6731,6812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6731,6812) = 1

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

GCF(6731,6812) x common factors =1 x 1 = 1

LCM(6731,6812) = ( 6731 × 6812 ) / 1

LCM(6731,6812) = 45851572 / 1

LCM(6731,6812) = 45851572


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 446/6731, 249/6812

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 446/6731, 249/6812?

Answer: GCF of Numerators as per given numbers 446/6731, 249/6812 is

GCF of Numerators i.e. for 446,249 is 1

LCM of denominators i.e. for 6731,6812 is 45851572.

Thus, GCF of Fractions is 1/45851572.Finally, GCF of Fractions for 446/6731, 249/6812 is 1/45851572.