GCD of 972, 158, 678, 185 Calculator

Given Input numbers are 972, 158, 678, 185

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 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 972, 158, 678, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 158, 678, 185 is 1.

Therefore, GCD of numbers 972, 158, 678, 185 is 1

Given Input Data is 972, 158, 678, 185

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 158 is 2 x 79

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 185 is 5 x 37

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, 158) = 76788

GCD(972, 158) = ( 972 x 158 ) / 76788

GCD(972, 158) = 153576 / 76788

GCD(972, 158) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 678

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

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

GCD(2, 678) = 1356 / 678

GCD(2, 678) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 185

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

LCM(2, 185) = 370

GCD(2, 185) = ( 2 x 185 ) / 370

GCD(2, 185) = 370 / 370

GCD(2, 185) = 1

GCD of 972, 158, 678, 185 is 1

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1. What is the GCD of 972, 158, 678, 185?

GCD of 972, 158, 678, 185 is 1

2. Where do I get the detailed procedure to find GCD of 972, 158, 678, 185?

You can find a detailed procedure to find GCD of 972, 158, 678, 185 on our page.

3. How to find GCD of 972, 158, 678, 185 on a calculator?

You can find the GCD of 972, 158, 678, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.