Greatest Common Factor of 6421/453, 7298/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6421/453, 7298/814

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 6421/453,7298/814

Given fractions are 6421/453,7298/814

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 6421,7298

Greatest Common Factor of Numerators i.e. GCF of 6421,7298 is 1 .

LCM of Denominators means LCM of 453,814 as per the given fractions.

LCM of 453,814 is 368742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6421,7298

GCF of Fractions 6421/453,7298/814 is 1/368742

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

Greatest Common Factor of 6421,7298 By Matching Biggest Common Factor Method

Greatest Common Factor of 6421,7298 By Matching Biggest Common Factor Method

Factors of 6421

List of positive integer factors of 6421 that divides 6421 without a remainder.

1,6421

Factors of 7298

List of positive integer factors of 7298 that divides 7298 without a remainder.

1,2,41,82,89,178,3649,7298

Greatest Common Factor

We found the factors 6421,7298 . The biggest common factor number is the GCF number.
So the greatest common factor 6421,7298 is 1.

Lets's calculate LCM of 453,814

Given numbers has no common factors except 1. So, there LCM is their product i.e 368742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/368742

Therefore, the GCF of Fractions 6421/453,7298/814 is 1/368742

Least Common Multiple of 453,814 with GCF Formula

Least Common Multiple of 453,814 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 453,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(453,814) = 1

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

GCF(453,814) x common factors =1 x 1 = 1

LCM(453,814) = ( 453 × 814 ) / 1

LCM(453,814) = 368742 / 1

LCM(453,814) = 368742


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 6421/453, 7298/814

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 6421/453, 7298/814?

Answer: GCF of Numerators as per given numbers 6421/453, 7298/814 is

GCF of Numerators i.e. for 6421,7298 is 1

LCM of denominators i.e. for 453,814 is 368742.

Thus, GCF of Fractions is 1/368742.Finally, GCF of Fractions for 6421/453, 7298/814 is 1/368742.