GCD of 972, 556, 214, 572 Calculator

Given Input numbers are 972, 556, 214, 572

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

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

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Greatest Common Divisior

We found the divisors of 972, 556, 214, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 556, 214, 572 is 2.

Therefore, GCD of numbers 972, 556, 214, 572 is 2

Given Input Data is 972, 556, 214, 572

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 214 is 2 x 107

Prime Factorization of 572 is 2 x 2 x 11 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(972, 556) = 135108

GCD(972, 556) = ( 972 x 556 ) / 135108

GCD(972, 556) = 540432 / 135108

GCD(972, 556) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 214

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

LCM(4, 214) = 428

GCD(4, 214) = ( 4 x 214 ) / 428

GCD(4, 214) = 856 / 428

GCD(4, 214) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 572

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

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

GCD(2, 572) = 1144 / 572

GCD(2, 572) = 2

GCD of 972, 556, 214, 572 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 723, 340, 167
• GCD of 680, 718, 611, 657
• GCD of 716, 331, 357, 643
• GCD of 912, 843, 606, 663
• GCD of 556, 444, 745, 668

1. What is the GCD of 972, 556, 214, 572?

GCD of 972, 556, 214, 572 is 2

2. Where do I get the detailed procedure to find GCD of 972, 556, 214, 572?

You can find a detailed procedure to find GCD of 972, 556, 214, 572 on our page.

3. How to find GCD of 972, 556, 214, 572 on a calculator?

You can find the GCD of 972, 556, 214, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.