Greatest Common Factor of 339/827, 4610/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 339/827, 4610/829

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 339/827,4610/829

Given fractions are 339/827,4610/829

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 339,4610

Greatest Common Factor of Numerators i.e. GCF of 339,4610 is 1 .

LCM of Denominators means LCM of 827,829 as per the given fractions.

LCM of 827,829 is 685583 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 339,4610

GCF of Fractions 339/827,4610/829 is 1/685583

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

Greatest Common Factor of 339,4610 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,4610 By Matching Biggest Common Factor Method

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 4610

List of positive integer factors of 4610 that divides 4610 without a remainder.

1,2,5,10,461,922,2305,4610

Greatest Common Factor

We found the factors 339,4610 . The biggest common factor number is the GCF number.
So the greatest common factor 339,4610 is 1.

Lets's calculate LCM of 827,829

Given numbers has no common factors except 1. So, there LCM is their product i.e 685583

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/685583

Therefore, the GCF of Fractions 339/827,4610/829 is 1/685583

Least Common Multiple of 827,829 with GCF Formula

Least Common Multiple of 827,829 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 827,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,829) = 1

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

GCF(827,829) x common factors =1 x 1 = 1

LCM(827,829) = ( 827 × 829 ) / 1

LCM(827,829) = 685583 / 1

LCM(827,829) = 685583


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 339/827, 4610/829

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 339/827, 4610/829?

Answer: GCF of Numerators as per given numbers 339/827, 4610/829 is

GCF of Numerators i.e. for 339,4610 is 1

LCM of denominators i.e. for 827,829 is 685583.

Thus, GCF of Fractions is 1/685583.Finally, GCF of Fractions for 339/827, 4610/829 is 1/685583.