GCD of 217, 654, 36, 216 Calculator

Given Input numbers are 217, 654, 36, 216

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 (217, 654, 36, 216) = 1.

Given numbers are 217, 654, 36, 216

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

Prime factors of 654 are 2 x 3 x 109

Prime factors of 36 are 2 x 2 x 3 x 3

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

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

Given numbers are 217, 654, 36, 216

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

Apply this formula for all numbers.

Step1:

LCM(217, 654) = 141918

GCD(217, 654) = ( 217 x 654 ) / 141918

= 217 / 654

= 217

Step2:

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

= 1 / 36

= 1

Step3:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

So, Greatest Common Divisor of 217, 654, 36, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 416, 24, 397
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Given numbers are 217, 654, 36, 216
The greatest common divisor of numbers 217, 654, 36, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 654, 36, 216 is 1.

1. What is the GCD of 217, 654, 36, 216?

GCD of given numbers 217, 654, 36, 216 is 1

2. How to calculate the greatest common divisor of 217, 654, 36, 216?

We can find the highest common divisor of 217, 654, 36, 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 217, 654, 36, 216 i.e 1.

3. How can I use the GCD of 217, 654, 36, 216Calculator?

Out the numbers 217, 654, 36, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.