Greatest Common Factor of 6121/361, 8405/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6121/361, 8405/694

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 6121/361,8405/694

Given fractions are 6121/361,8405/694

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 6121,8405

Greatest Common Factor of Numerators i.e. GCF of 6121,8405 is 1 .

LCM of Denominators means LCM of 361,694 as per the given fractions.

LCM of 361,694 is 250534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6121,8405

GCF of Fractions 6121/361,8405/694 is 1/250534

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

Greatest Common Factor of 6121,8405 By Matching Biggest Common Factor Method

Greatest Common Factor of 6121,8405 By Matching Biggest Common Factor Method

Factors of 6121

List of positive integer factors of 6121 that divides 6121 without a remainder.

1,6121

Factors of 8405

List of positive integer factors of 8405 that divides 8405 without a remainder.

1,5,41,205,1681,8405

Greatest Common Factor

We found the factors 6121,8405 . The biggest common factor number is the GCF number.
So the greatest common factor 6121,8405 is 1.

Lets's calculate LCM of 361,694

Given numbers has no common factors except 1. So, there LCM is their product i.e 250534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/250534

Therefore, the GCF of Fractions 6121/361,8405/694 is 1/250534

Least Common Multiple of 361,694 with GCF Formula

Least Common Multiple of 361,694 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 361,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,694) = 1

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

GCF(361,694) x common factors =1 x 1 = 1

LCM(361,694) = ( 361 × 694 ) / 1

LCM(361,694) = 250534 / 1

LCM(361,694) = 250534


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 6121/361, 8405/694

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 6121/361, 8405/694?

Answer: GCF of Numerators as per given numbers 6121/361, 8405/694 is

GCF of Numerators i.e. for 6121,8405 is 1

LCM of denominators i.e. for 361,694 is 250534.

Thus, GCF of Fractions is 1/250534.Finally, GCF of Fractions for 6121/361, 8405/694 is 1/250534.