GCD of 972, 753, 613, 189 Calculator

Given Input numbers are 972, 753, 613, 189

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 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 972, 753, 613, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 753, 613, 189 is 1.

Therefore, GCD of numbers 972, 753, 613, 189 is 1

Given Input Data is 972, 753, 613, 189

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 753 is 3 x 251

Prime Factorization of 613 is 613

Prime Factorization of 189 is 3 x 3 x 3 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, 753) = 243972

GCD(972, 753) = ( 972 x 753 ) / 243972

GCD(972, 753) = 731916 / 243972

GCD(972, 753) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 613

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

LCM(3, 613) = 1839

GCD(3, 613) = ( 3 x 613 ) / 1839

GCD(3, 613) = 1839 / 1839

GCD(3, 613) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 972, 753, 613, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 912, 749, 882
• GCD of 407, 206, 641, 399
• GCD of 252, 972, 872, 853
• GCD of 244, 726, 337, 143
• GCD of 429, 513, 486, 619

1. What is the GCD of 972, 753, 613, 189?

GCD of 972, 753, 613, 189 is 1

2. Where do I get the detailed procedure to find GCD of 972, 753, 613, 189?

You can find a detailed procedure to find GCD of 972, 753, 613, 189 on our page.

3. How to find GCD of 972, 753, 613, 189 on a calculator?

You can find the GCD of 972, 753, 613, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.