GCD of 369, 447, 216, 357 Calculator

Given Input numbers are 369, 447, 216, 357

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 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

GCD of numbers is the greatest common divisor

So, the GCD (369, 447, 216, 357) = 3.

Given numbers are 369, 447, 216, 357

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 447 are 3 x 149

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 357 are 3 x 7 x 17

The highest common occurrence is 3¹

Therefore, GCD of 369, 447, 216, 357 is 3.

Given numbers are 369, 447, 216, 357

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

Apply this formula for all numbers.

Step1:

LCM(369, 447) = 54981

GCD(369, 447) = ( 369 x 447 ) / 54981

= 369 / 447

= 369

Step2:

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

= 3 / 216

= 3

Step3:

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

= 3 / 357

= 3

So, Greatest Common Divisor of 369, 447, 216, 357 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 520, 639, 656
• GCD of 210, 337, 303, 100
• GCD of 496, 585, 417, 214
• GCD of 374, 164, 451, 505
• GCD of 477, 566, 284, 998

Given numbers are 369, 447, 216, 357
The greatest common divisor of numbers 369, 447, 216, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 447, 216, 357 is 3.

1. What is the GCD of 369, 447, 216, 357?

GCD of given numbers 369, 447, 216, 357 is 3

2. How to calculate the greatest common divisor of 369, 447, 216, 357?

We can find the highest common divisor of 369, 447, 216, 357 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, 447, 216, 357 i.e 3.

3. How can I use the GCD of 369, 447, 216, 357Calculator?

Out the numbers 369, 447, 216, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.