GCD of 216, 361, 624, 975 Calculator

Given Input numbers are 216, 361, 624, 975

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

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 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

GCD of numbers is the greatest common divisor

So, the GCD (216, 361, 624, 975) = 1.

Given numbers are 216, 361, 624, 975

The list of prime factors of all numbers are

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

Prime factors of 361 are 19 x 19

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 975 are 3 x 5 x 5 x 13

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

Given numbers are 216, 361, 624, 975

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

Apply this formula for all numbers.

Step1:

LCM(216, 361) = 77976

GCD(216, 361) = ( 216 x 361 ) / 77976

= 216 / 361

= 216

Step2:

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

= 1 / 624

= 1

Step3:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

So, Greatest Common Divisor of 216, 361, 624, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 600, 805, 122
• GCD of 343, 278, 594, 851
• GCD of 420, 629, 434, 949
• GCD of 223, 288, 333, 604
• GCD of 845, 332, 714, 708

Given numbers are 216, 361, 624, 975
The greatest common divisor of numbers 216, 361, 624, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 361, 624, 975 is 1.

1. What is the GCD of 216, 361, 624, 975?

GCD of given numbers 216, 361, 624, 975 is 1

2. How to calculate the greatest common divisor of 216, 361, 624, 975?

We can find the highest common divisor of 216, 361, 624, 975 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 216, 361, 624, 975 i.e 1.

3. How can I use the GCD of 216, 361, 624, 975Calculator?

Out the numbers 216, 361, 624, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.