Greatest Common Factor of 81/450, 2674/7343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/450, 2674/7343

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 81/450,2674/7343

Given fractions are 81/450,2674/7343

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 81,2674

Greatest Common Factor of Numerators i.e. GCF of 81,2674 is 1 .

LCM of Denominators means LCM of 450,7343 as per the given fractions.

LCM of 450,7343 is 3304350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,2674

GCF of Fractions 81/450,2674/7343 is 1/3304350

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

Greatest Common Factor of 81,2674 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,2674 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 2674

List of positive integer factors of 2674 that divides 2674 without a remainder.

1,2,7,14,191,382,1337,2674

Greatest Common Factor

We found the factors 81,2674 . The biggest common factor number is the GCF number.
So the greatest common factor 81,2674 is 1.

Lets's calculate LCM of 450,7343

Given numbers has no common factors except 1. So, there LCM is their product i.e 3304350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3304350

Therefore, the GCF of Fractions 81/450,2674/7343 is 1/3304350

Least Common Multiple of 450,7343 with GCF Formula

Least Common Multiple of 450,7343 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 450,7343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,7343) = 1

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

GCF(450,7343) x common factors =1 x 1 = 1

LCM(450,7343) = ( 450 × 7343 ) / 1

LCM(450,7343) = 3304350 / 1

LCM(450,7343) = 3304350


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 81/450, 2674/7343

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 81/450, 2674/7343?

Answer: GCF of Numerators as per given numbers 81/450, 2674/7343 is

GCF of Numerators i.e. for 81,2674 is 1

LCM of denominators i.e. for 450,7343 is 3304350.

Thus, GCF of Fractions is 1/3304350.Finally, GCF of Fractions for 81/450, 2674/7343 is 1/3304350.