Greatest Common Factor of 6345/561, 8405/5563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6345/561, 8405/5563

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 6345/561,8405/5563

Given fractions are 6345/561,8405/5563

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 6345,8405

Greatest Common Factor of Numerators i.e. GCF of 6345,8405 is 5 .

LCM of Denominators means LCM of 561,5563 as per the given fractions.

LCM of 561,5563 is 3120843 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6345,8405

GCF of Fractions 6345/561,8405/5563 is 5/3120843

5 6345, 8405
1269, 1681

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6345,8405 By Matching Biggest Common Factor Method

Greatest Common Factor of 6345,8405 By Matching Biggest Common Factor Method

Factors of 6345

List of positive integer factors of 6345 that divides 6345 without a remainder.

1,3,5,9,15,27,45,47,135,141,235,423,705,1269,2115,6345

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 6345,8405 . The biggest common factor number is the GCF number.
So the greatest common factor 6345,8405 is 5.

Lets's calculate LCM of 561,5563

Given numbers has no common factors except 1. So, there LCM is their product i.e 3120843

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3120843

Therefore, the GCF of Fractions 6345/561,8405/5563 is 5/3120843

Least Common Multiple of 561,5563 with GCF Formula

Least Common Multiple of 561,5563 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 561,5563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,5563) = 1

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

GCF(561,5563) x common factors =1 x 1 = 1

LCM(561,5563) = ( 561 × 5563 ) / 1

LCM(561,5563) = 3120843 / 1

LCM(561,5563) = 3120843


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 6345/561, 8405/5563

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 6345/561, 8405/5563?

Answer: GCF of Numerators as per given numbers 6345/561, 8405/5563 is

GCF of Numerators i.e. for 6345,8405 is 5

LCM of denominators i.e. for 561,5563 is 3120843.

Thus, GCF of Fractions is 5/3120843.Finally, GCF of Fractions for 6345/561, 8405/5563 is 5/3120843.