GCD of 972, 711, 29, 588 Calculator

Given Input numbers are 972, 711, 29, 588

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 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 972, 711, 29, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 711, 29, 588 is 1.

Therefore, GCD of numbers 972, 711, 29, 588 is 1

Given Input Data is 972, 711, 29, 588

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 711 is 3 x 3 x 79

Prime Factorization of 29 is 29

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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

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, 711) = 76788

GCD(972, 711) = ( 972 x 711 ) / 76788

GCD(972, 711) = 691092 / 76788

GCD(972, 711) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 29

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

LCM(9, 29) = 261

GCD(9, 29) = ( 9 x 29 ) / 261

GCD(9, 29) = 261 / 261

GCD(9, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 972, 711, 29, 588 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 348, 87, 824
• GCD of 641, 967, 47, 581
• GCD of 602, 689, 82, 513
• GCD of 989, 979, 21, 843
• GCD of 434, 226, 58, 686

1. What is the GCD of 972, 711, 29, 588?

GCD of 972, 711, 29, 588 is 1

2. Where do I get the detailed procedure to find GCD of 972, 711, 29, 588?

You can find a detailed procedure to find GCD of 972, 711, 29, 588 on our page.

3. How to find GCD of 972, 711, 29, 588 on a calculator?

You can find the GCD of 972, 711, 29, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.