Greatest Common Factor of 8245/61, 4578/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8245/61, 4578/329

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 8245/61,4578/329

Given fractions are 8245/61,4578/329

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 8245,4578

Greatest Common Factor of Numerators i.e. GCF of 8245,4578 is 1 .

LCM of Denominators means LCM of 61,329 as per the given fractions.

LCM of 61,329 is 20069 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8245,4578

GCF of Fractions 8245/61,4578/329 is 1/20069

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

Greatest Common Factor of 8245,4578 By Matching Biggest Common Factor Method

Greatest Common Factor of 8245,4578 By Matching Biggest Common Factor Method

Factors of 8245

List of positive integer factors of 8245 that divides 8245 without a remainder.

1,5,17,85,97,485,1649,8245

Factors of 4578

List of positive integer factors of 4578 that divides 4578 without a remainder.

1,2,3,6,7,14,21,42,109,218,327,654,763,1526,2289,4578

Greatest Common Factor

We found the factors 8245,4578 . The biggest common factor number is the GCF number.
So the greatest common factor 8245,4578 is 1.

Lets's calculate LCM of 61,329

Given numbers has no common factors except 1. So, there LCM is their product i.e 20069

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20069

Therefore, the GCF of Fractions 8245/61,4578/329 is 1/20069

Least Common Multiple of 61,329 with GCF Formula

Least Common Multiple of 61,329 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 61,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,329) = 1

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

GCF(61,329) x common factors =1 x 1 = 1

LCM(61,329) = ( 61 × 329 ) / 1

LCM(61,329) = 20069 / 1

LCM(61,329) = 20069


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 8245/61, 4578/329

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 8245/61, 4578/329?

Answer: GCF of Numerators as per given numbers 8245/61, 4578/329 is

GCF of Numerators i.e. for 8245,4578 is 1

LCM of denominators i.e. for 61,329 is 20069.

Thus, GCF of Fractions is 1/20069.Finally, GCF of Fractions for 8245/61, 4578/329 is 1/20069.