Greatest Common Factor of 4010/89, 6309/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4010/89, 6309/638

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 4010/89,6309/638

Given fractions are 4010/89,6309/638

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 4010,6309

Greatest Common Factor of Numerators i.e. GCF of 4010,6309 is 1 .

LCM of Denominators means LCM of 89,638 as per the given fractions.

LCM of 89,638 is 56782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4010,6309

GCF of Fractions 4010/89,6309/638 is 1/56782

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

Greatest Common Factor of 4010,6309 By Matching Biggest Common Factor Method

Greatest Common Factor of 4010,6309 By Matching Biggest Common Factor Method

Factors of 4010

List of positive integer factors of 4010 that divides 4010 without a remainder.

1,2,5,10,401,802,2005,4010

Factors of 6309

List of positive integer factors of 6309 that divides 6309 without a remainder.

1,3,9,701,2103,6309

Greatest Common Factor

We found the factors 4010,6309 . The biggest common factor number is the GCF number.
So the greatest common factor 4010,6309 is 1.

Lets's calculate LCM of 89,638

Given numbers has no common factors except 1. So, there LCM is their product i.e 56782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56782

Therefore, the GCF of Fractions 4010/89,6309/638 is 1/56782

Least Common Multiple of 89,638 with GCF Formula

Least Common Multiple of 89,638 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 89,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,638) = 1

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

GCF(89,638) x common factors =1 x 1 = 1

LCM(89,638) = ( 89 × 638 ) / 1

LCM(89,638) = 56782 / 1

LCM(89,638) = 56782


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 4010/89, 6309/638

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 4010/89, 6309/638?

Answer: GCF of Numerators as per given numbers 4010/89, 6309/638 is

GCF of Numerators i.e. for 4010,6309 is 1

LCM of denominators i.e. for 89,638 is 56782.

Thus, GCF of Fractions is 1/56782.Finally, GCF of Fractions for 4010/89, 6309/638 is 1/56782.