GCD of 469, 972, 221, 216 Calculator

Given Input numbers are 469, 972, 221, 216

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

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

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 (469, 972, 221, 216) = 1.

Given numbers are 469, 972, 221, 216

The list of prime factors of all numbers are

Prime factors of 469 are 7 x 67

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 221 are 13 x 17

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 469, 972, 221, 216

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

Apply this formula for all numbers.

Step1:

LCM(469, 972) = 455868

GCD(469, 972) = ( 469 x 972 ) / 455868

= 469 / 972

= 469

Step2:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1

Step3:

LCM(1, 216) = 216

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

= 1 / 216

= 1

So, Greatest Common Divisor of 469, 972, 221, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 744, 717, 826
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Given numbers are 469, 972, 221, 216
The greatest common divisor of numbers 469, 972, 221, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 469, 972, 221, 216 is 1.

1. What is the GCD of 469, 972, 221, 216?

GCD of given numbers 469, 972, 221, 216 is 1

2. How to calculate the greatest common divisor of 469, 972, 221, 216?

We can find the highest common divisor of 469, 972, 221, 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 469, 972, 221, 216 i.e 1.

3. How can I use the GCD of 469, 972, 221, 216Calculator?

Out the numbers 469, 972, 221, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.