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GCD of 369, 141, 47 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 369, 141, 47 quickly. Get the easiest ways to solve the greatest common divisor of 369, 141, 47 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 369, 141, 47 with Factoring?

Given Input numbers are 369, 141, 47

In the factoring method, we have to find the divisors of all numbers

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 47 :

The positive integer divisors of 47 that completely divides 47 are.

1, 47


GCD of numbers is the greatest common divisor

So, the GCD (369, 141, 47) = 1.

Find GCD of 369, 141, 47 using Prime Factorization

Given numbers are 369, 141, 47

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 141 are 3 x 47

Prime factors of 47 are 47

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 369, 141, 47 using LCM Formula

Given numbers are 369, 141, 47

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(369, 141) = 17343

GCD(369, 141) = ( 369 x 141 ) / 17343

= 369 / 141

= 369


Step2:

LCM(3, 47) = 141

GCD(3, 47) = ( 3 x 47 ) / 141

= 3 / 47

= 3


So, Greatest Common Divisor of 369, 141, 47 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 369, 141, 47

Given numbers are 369, 141, 47
The greatest common divisor of numbers 369, 141, 47 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 141, 47 is 1.

FAQs on GCD of 369, 141, 47 Calculator

1. What is the GCD of 369, 141, 47?

GCD of given numbers 369, 141, 47 is 1


2. How to calculate the greatest common divisor of 369, 141, 47?

We can find the highest common divisor of 369, 141, 47 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 369, 141, 47 i.e 1.


3. How can I use the GCD of 369, 141, 47Calculator?

Out the numbers 369, 141, 47 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.