Greatest Common Factor of 409/61, 8358/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 409/61, 8358/113

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 409/61,8358/113

Given fractions are 409/61,8358/113

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 409,8358

Greatest Common Factor of Numerators i.e. GCF of 409,8358 is 1 .

LCM of Denominators means LCM of 61,113 as per the given fractions.

LCM of 61,113 is 6893 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 409,8358

GCF of Fractions 409/61,8358/113 is 1/6893

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

Greatest Common Factor of 409,8358 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,8358 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 8358

List of positive integer factors of 8358 that divides 8358 without a remainder.

1,2,3,6,7,14,21,42,199,398,597,1194,1393,2786,4179,8358

Greatest Common Factor

We found the factors 409,8358 . The biggest common factor number is the GCF number.
So the greatest common factor 409,8358 is 1.

Lets's calculate LCM of 61,113

Given numbers has no common factors except 1. So, there LCM is their product i.e 6893

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6893

Therefore, the GCF of Fractions 409/61,8358/113 is 1/6893

Least Common Multiple of 61,113 with GCF Formula

Least Common Multiple of 61,113 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 61,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,113) = 1

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

GCF(61,113) x common factors =1 x 1 = 1

LCM(61,113) = ( 61 × 113 ) / 1

LCM(61,113) = 6893 / 1

LCM(61,113) = 6893


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 409/61, 8358/113

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 409/61, 8358/113?

Answer: GCF of Numerators as per given numbers 409/61, 8358/113 is

GCF of Numerators i.e. for 409,8358 is 1

LCM of denominators i.e. for 61,113 is 6893.

Thus, GCF of Fractions is 1/6893.Finally, GCF of Fractions for 409/61, 8358/113 is 1/6893.