GCD of 972, 855, 178, 738 Calculator

Given Input numbers are 972, 855, 178, 738

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 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 972, 855, 178, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 855, 178, 738 is 1.

Therefore, GCD of numbers 972, 855, 178, 738 is 1

Given Input Data is 972, 855, 178, 738

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 855 is 3 x 3 x 5 x 19

Prime Factorization of 178 is 2 x 89

Prime Factorization of 738 is 2 x 3 x 3 x 41

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, 855) = 92340

GCD(972, 855) = ( 972 x 855 ) / 92340

GCD(972, 855) = 831060 / 92340

GCD(972, 855) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 178

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

LCM(9, 178) = 1602

GCD(9, 178) = ( 9 x 178 ) / 1602

GCD(9, 178) = 1602 / 1602

GCD(9, 178) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 972, 855, 178, 738 is 1

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1. What is the GCD of 972, 855, 178, 738?

GCD of 972, 855, 178, 738 is 1

2. Where do I get the detailed procedure to find GCD of 972, 855, 178, 738?

You can find a detailed procedure to find GCD of 972, 855, 178, 738 on our page.

3. How to find GCD of 972, 855, 178, 738 on a calculator?

You can find the GCD of 972, 855, 178, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.