GCD of 972, 261, 624, 213 Calculator

Given Input numbers are 972, 261, 624, 213

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 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (972, 261, 624, 213) = 3.

Given numbers are 972, 261, 624, 213

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 261 are 3 x 3 x 29

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

Prime factors of 213 are 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 972, 261, 624, 213 is 3.

Given numbers are 972, 261, 624, 213

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

Apply this formula for all numbers.

Step1:

LCM(972, 261) = 28188

GCD(972, 261) = ( 972 x 261 ) / 28188

= 972 / 261

= 972

Step2:

LCM(9, 624) = 1872

GCD(9, 624) = ( 9 x 624 ) / 1872

= 9 / 624

= 9

Step3:

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

= 3 / 213

= 3

So, Greatest Common Divisor of 972, 261, 624, 213 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 884, 968, 931
• GCD of 700, 733, 827, 897
• GCD of 615, 286, 867, 470
• GCD of 764, 779, 534, 516
• GCD of 658, 209, 226, 532

Given numbers are 972, 261, 624, 213
The greatest common divisor of numbers 972, 261, 624, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 261, 624, 213 is 3.

1. What is the GCD of 972, 261, 624, 213?

GCD of given numbers 972, 261, 624, 213 is 3

2. How to calculate the greatest common divisor of 972, 261, 624, 213?

We can find the highest common divisor of 972, 261, 624, 213 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, 261, 624, 213 i.e 3.

3. How can I use the GCD of 972, 261, 624, 213Calculator?

Out the numbers 972, 261, 624, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.