GCD of 705, 369, 432, 216 Calculator

Given Input numbers are 705, 369, 432, 216

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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

GCD of numbers is the greatest common divisor

So, the GCD (705, 369, 432, 216) = 3.

Given numbers are 705, 369, 432, 216

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 369 are 3 x 3 x 41

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

The highest common occurrence is 3¹

Therefore, GCD of 705, 369, 432, 216 is 3.

Given numbers are 705, 369, 432, 216

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

Apply this formula for all numbers.

Step1:

LCM(705, 369) = 86715

GCD(705, 369) = ( 705 x 369 ) / 86715

= 705 / 369

= 705

Step2:

LCM(3, 432) = 432

GCD(3, 432) = ( 3 x 432 ) / 432

= 3 / 432

= 3

Step3:

LCM(3, 216) = 216

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

= 3 / 216

= 3

So, Greatest Common Divisor of 705, 369, 432, 216 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 429, 998, 522
• GCD of 712, 961, 869, 484
• GCD of 391, 621, 343, 424
• GCD of 713, 103, 158, 527
• GCD of 367, 737, 931, 117

Given numbers are 705, 369, 432, 216
The greatest common divisor of numbers 705, 369, 432, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 369, 432, 216 is 3.

1. What is the GCD of 705, 369, 432, 216?

GCD of given numbers 705, 369, 432, 216 is 3

2. How to calculate the greatest common divisor of 705, 369, 432, 216?

We can find the highest common divisor of 705, 369, 432, 216 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 705, 369, 432, 216 i.e 3.

3. How can I use the GCD of 705, 369, 432, 216Calculator?

Out the numbers 705, 369, 432, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.