Greatest Common Factor of 8468/795, 8239/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8468/795, 8239/390

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 8468/795,8239/390

Given fractions are 8468/795,8239/390

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 8468,8239

Greatest Common Factor of Numerators i.e. GCF of 8468,8239 is 1 .

LCM of Denominators means LCM of 795,390 as per the given fractions.

LCM of 795,390 is 20670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8468,8239

GCF of Fractions 8468/795,8239/390 is 1/20670

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

Greatest Common Factor of 8468,8239 By Matching Biggest Common Factor Method

Greatest Common Factor of 8468,8239 By Matching Biggest Common Factor Method

Factors of 8468

List of positive integer factors of 8468 that divides 8468 without a remainder.

1,2,4,29,58,73,116,146,292,2117,4234,8468

Factors of 8239

List of positive integer factors of 8239 that divides 8239 without a remainder.

1,7,11,77,107,749,1177,8239

Greatest Common Factor

We found the factors 8468,8239 . The biggest common factor number is the GCF number.
So the greatest common factor 8468,8239 is 1.

Lets's calculate LCM of 795,390

3 795, 390
5 265, 130
53, 26

∴ So the LCM of the given numbers is 3 x 5 x 53 x 26 = 20670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20670

Therefore, the GCF of Fractions 8468/795,8239/390 is 1/20670

Least Common Multiple of 795,390 with GCF Formula

Least Common Multiple of 795,390 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 795,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,390) = 15

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

GCF(795,390) x common factors =15 x 1 = 15

LCM(795,390) = ( 795 × 390 ) / 15

LCM(795,390) = 310050 / 15

LCM(795,390) = 20670


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 8468/795, 8239/390

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 8468/795, 8239/390?

Answer: GCF of Numerators as per given numbers 8468/795, 8239/390 is

GCF of Numerators i.e. for 8468,8239 is 1

LCM of denominators i.e. for 795,390 is 20670.

Thus, GCF of Fractions is 1/20670.Finally, GCF of Fractions for 8468/795, 8239/390 is 1/20670.