GCD of 432, 507, 147, 216 Calculator

Given Input numbers are 432, 507, 147, 216

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

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 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

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 (432, 507, 147, 216) = 3.

Given numbers are 432, 507, 147, 216

The list of prime factors of all numbers are

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

Prime factors of 507 are 3 x 13 x 13

Prime factors of 147 are 3 x 7 x 7

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 432, 507, 147, 216 is 3.

Given numbers are 432, 507, 147, 216

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

Apply this formula for all numbers.

Step1:

LCM(432, 507) = 73008

GCD(432, 507) = ( 432 x 507 ) / 73008

= 432 / 507

= 432

Step2:

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

= 3 / 147

= 3

Step3:

LCM(3, 216) = 216

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

= 3 / 216

= 3

So, Greatest Common Divisor of 432, 507, 147, 216 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 959, 448, 664
• GCD of 647, 242, 774, 707
• GCD of 877, 346, 953, 432
• GCD of 455, 218, 754, 428
• GCD of 962, 738, 412, 619

Given numbers are 432, 507, 147, 216
The greatest common divisor of numbers 432, 507, 147, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 507, 147, 216 is 3.

1. What is the GCD of 432, 507, 147, 216?

GCD of given numbers 432, 507, 147, 216 is 3

2. How to calculate the greatest common divisor of 432, 507, 147, 216?

We can find the highest common divisor of 432, 507, 147, 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 432, 507, 147, 216 i.e 3.

3. How can I use the GCD of 432, 507, 147, 216Calculator?

Out the numbers 432, 507, 147, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.