GCD of 972, 155, 683, 145 Calculator

Given Input numbers are 972, 155, 683, 145

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 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 972, 155, 683, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 155, 683, 145 is 1.

Therefore, GCD of numbers 972, 155, 683, 145 is 1

Given Input Data is 972, 155, 683, 145

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 155 is 5 x 31

Prime Factorization of 683 is 683

Prime Factorization of 145 is 5 x 29

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, 155) = 150660

GCD(972, 155) = ( 972 x 155 ) / 150660

GCD(972, 155) = 150660 / 150660

GCD(972, 155) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 972, 155, 683, 145 is 1

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1. What is the GCD of 972, 155, 683, 145?

GCD of 972, 155, 683, 145 is 1

2. Where do I get the detailed procedure to find GCD of 972, 155, 683, 145?

You can find a detailed procedure to find GCD of 972, 155, 683, 145 on our page.

3. How to find GCD of 972, 155, 683, 145 on a calculator?

You can find the GCD of 972, 155, 683, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.