Greatest Common Factor of 6421/638, 4586/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6421/638, 4586/733

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 6421/638,4586/733

Given fractions are 6421/638,4586/733

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 6421,4586

Greatest Common Factor of Numerators i.e. GCF of 6421,4586 is 1 .

LCM of Denominators means LCM of 638,733 as per the given fractions.

LCM of 638,733 is 467654 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6421,4586

GCF of Fractions 6421/638,4586/733 is 1/467654

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

Greatest Common Factor of 6421,4586 By Matching Biggest Common Factor Method

Greatest Common Factor of 6421,4586 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 4586

List of positive integer factors of 4586 that divides 4586 without a remainder.

1,2,2293,4586

Greatest Common Factor

We found the factors 6421,4586 . The biggest common factor number is the GCF number.
So the greatest common factor 6421,4586 is 1.

Lets's calculate LCM of 638,733

Given numbers has no common factors except 1. So, there LCM is their product i.e 467654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/467654

Therefore, the GCF of Fractions 6421/638,4586/733 is 1/467654

Least Common Multiple of 638,733 with GCF Formula

Least Common Multiple of 638,733 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 638,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,733) = 1

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

GCF(638,733) x common factors =1 x 1 = 1

LCM(638,733) = ( 638 × 733 ) / 1

LCM(638,733) = 467654 / 1

LCM(638,733) = 467654


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 6421/638, 4586/733

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 6421/638, 4586/733?

Answer: GCF of Numerators as per given numbers 6421/638, 4586/733 is

GCF of Numerators i.e. for 6421,4586 is 1

LCM of denominators i.e. for 638,733 is 467654.

Thus, GCF of Fractions is 1/467654.Finally, GCF of Fractions for 6421/638, 4586/733 is 1/467654.