Greatest Common Factor of 8065/624, 3798/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8065/624, 3798/493

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 8065/624,3798/493

Given fractions are 8065/624,3798/493

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 8065,3798

Greatest Common Factor of Numerators i.e. GCF of 8065,3798 is 1 .

LCM of Denominators means LCM of 624,493 as per the given fractions.

LCM of 624,493 is 307632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8065,3798

GCF of Fractions 8065/624,3798/493 is 1/307632

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

Greatest Common Factor of 8065,3798 By Matching Biggest Common Factor Method

Greatest Common Factor of 8065,3798 By Matching Biggest Common Factor Method

Factors of 8065

List of positive integer factors of 8065 that divides 8065 without a remainder.

1,5,1613,8065

Factors of 3798

List of positive integer factors of 3798 that divides 3798 without a remainder.

1,2,3,6,9,18,211,422,633,1266,1899,3798

Greatest Common Factor

We found the factors 8065,3798 . The biggest common factor number is the GCF number.
So the greatest common factor 8065,3798 is 1.

Lets's calculate LCM of 624,493

Given numbers has no common factors except 1. So, there LCM is their product i.e 307632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307632

Therefore, the GCF of Fractions 8065/624,3798/493 is 1/307632

Least Common Multiple of 624,493 with GCF Formula

Least Common Multiple of 624,493 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 624,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,493) = 1

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

GCF(624,493) x common factors =1 x 1 = 1

LCM(624,493) = ( 624 × 493 ) / 1

LCM(624,493) = 307632 / 1

LCM(624,493) = 307632


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 8065/624, 3798/493

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 8065/624, 3798/493?

Answer: GCF of Numerators as per given numbers 8065/624, 3798/493 is

GCF of Numerators i.e. for 8065,3798 is 1

LCM of denominators i.e. for 624,493 is 307632.

Thus, GCF of Fractions is 1/307632.Finally, GCF of Fractions for 8065/624, 3798/493 is 1/307632.