Greatest Common Factor of 243/550, 6514/3623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 243/550, 6514/3623

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 243/550,6514/3623

Given fractions are 243/550,6514/3623

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 243,6514

Greatest Common Factor of Numerators i.e. GCF of 243,6514 is 1 .

LCM of Denominators means LCM of 550,3623 as per the given fractions.

LCM of 550,3623 is 1992650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 243,6514

GCF of Fractions 243/550,6514/3623 is 1/1992650

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

Greatest Common Factor of 243,6514 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,6514 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 6514

List of positive integer factors of 6514 that divides 6514 without a remainder.

1,2,3257,6514

Greatest Common Factor

We found the factors 243,6514 . The biggest common factor number is the GCF number.
So the greatest common factor 243,6514 is 1.

Lets's calculate LCM of 550,3623

Given numbers has no common factors except 1. So, there LCM is their product i.e 1992650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1992650

Therefore, the GCF of Fractions 243/550,6514/3623 is 1/1992650

Least Common Multiple of 550,3623 with GCF Formula

Least Common Multiple of 550,3623 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 550,3623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,3623) = 1

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

GCF(550,3623) x common factors =1 x 1 = 1

LCM(550,3623) = ( 550 × 3623 ) / 1

LCM(550,3623) = 1992650 / 1

LCM(550,3623) = 1992650


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 243/550, 6514/3623

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 243/550, 6514/3623?

Answer: GCF of Numerators as per given numbers 243/550, 6514/3623 is

GCF of Numerators i.e. for 243,6514 is 1

LCM of denominators i.e. for 550,3623 is 1992650.

Thus, GCF of Fractions is 1/1992650.Finally, GCF of Fractions for 243/550, 6514/3623 is 1/1992650.