GCD of 243, 369, 84 Calculator

Given Input numbers are 243, 369, 84

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

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

GCD of numbers is the greatest common divisor

So, the GCD (243, 369, 84) = 3.

Given numbers are 243, 369, 84

The list of prime factors of all numbers are

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 369 are 3 x 3 x 41

Prime factors of 84 are 2 x 2 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 243, 369, 84 is 3.

Given numbers are 243, 369, 84

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

Apply this formula for all numbers.

Step1:

LCM(243, 369) = 9963

GCD(243, 369) = ( 243 x 369 ) / 9963

= 243 / 369

= 243

Step2:

LCM(9, 84) = 252

GCD(9, 84) = ( 9 x 84 ) / 252

= 9 / 84

= 9

So, Greatest Common Divisor of 243, 369, 84 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 908, 29
• GCD of 490, 231, 23
• GCD of 940, 528, 90
• GCD of 938, 285, 36
• GCD of 952, 695, 40

Given numbers are 243, 369, 84
The greatest common divisor of numbers 243, 369, 84 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 369, 84 is 3.

1. What is the GCD of 243, 369, 84?

GCD of given numbers 243, 369, 84 is 3

2. How to calculate the greatest common divisor of 243, 369, 84?

We can find the highest common divisor of 243, 369, 84 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 243, 369, 84 i.e 3.

3. How can I use the GCD of 243, 369, 84Calculator?

Out the numbers 243, 369, 84 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.