GCD of 972, 589, 816, 211 Calculator

Given Input numbers are 972, 589, 816, 211

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

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 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 211 :

The positive integer divisors of 211 that completely divides 211 are.

1, 211

GCD of numbers is the greatest common divisor

So, the GCD (972, 589, 816, 211) = 1.

Given numbers are 972, 589, 816, 211

The list of prime factors of all numbers are

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

Prime factors of 589 are 19 x 31

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 211 are 211

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

Given numbers are 972, 589, 816, 211

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

Apply this formula for all numbers.

Step1:

LCM(972, 589) = 572508

GCD(972, 589) = ( 972 x 589 ) / 572508

= 972 / 589

= 972

Step2:

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

= 1 / 816

= 1

Step3:

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

= 1 / 211

= 1

So, Greatest Common Divisor of 972, 589, 816, 211 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 285, 631, 137
• GCD of 778, 669, 223, 444
• GCD of 851, 655, 343, 179
• GCD of 708, 167, 496, 615
• GCD of 286, 755, 532, 927

Given numbers are 972, 589, 816, 211
The greatest common divisor of numbers 972, 589, 816, 211 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 589, 816, 211 is 1.

1. What is the GCD of 972, 589, 816, 211?

GCD of given numbers 972, 589, 816, 211 is 1

2. How to calculate the greatest common divisor of 972, 589, 816, 211?

We can find the highest common divisor of 972, 589, 816, 211 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 972, 589, 816, 211 i.e 1.

3. How can I use the GCD of 972, 589, 816, 211Calculator?

Out the numbers 972, 589, 816, 211 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.