Greatest Common Factor of 561/29, 409/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 561/29, 409/501

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 561/29,409/501

Given fractions are 561/29,409/501

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 561,409

Greatest Common Factor of Numerators i.e. GCF of 561,409 is 1 .

LCM of Denominators means LCM of 29,501 as per the given fractions.

LCM of 29,501 is 14529 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 561,409

GCF of Fractions 561/29,409/501 is 1/14529

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

Greatest Common Factor of 561,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,409 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 409

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

1,409

Greatest Common Factor

We found the factors 561,409 . The biggest common factor number is the GCF number.
So the greatest common factor 561,409 is 1.

Lets's calculate LCM of 29,501

Given numbers has no common factors except 1. So, there LCM is their product i.e 14529

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14529

Therefore, the GCF of Fractions 561/29,409/501 is 1/14529

Least Common Multiple of 29,501 with GCF Formula

Least Common Multiple of 29,501 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 29,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,501) = 1

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

GCF(29,501) x common factors =1 x 1 = 1

LCM(29,501) = ( 29 × 501 ) / 1

LCM(29,501) = 14529 / 1

LCM(29,501) = 14529


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 561/29, 409/501

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 561/29, 409/501?

Answer: GCF of Numerators as per given numbers 561/29, 409/501 is

GCF of Numerators i.e. for 561,409 is 1

LCM of denominators i.e. for 29,501 is 14529.

Thus, GCF of Fractions is 1/14529.Finally, GCF of Fractions for 561/29, 409/501 is 1/14529.