GCD of 161, 597, 36, 116 Calculator

Given Input numbers are 161, 597, 36, 116

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 161, 597, 36, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 161, 597, 36, 116 is 1.

Therefore, GCD of numbers 161, 597, 36, 116 is 1

Given Input Data is 161, 597, 36, 116

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 161 is 7 x 23

Prime Factorization of 597 is 3 x 199

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 116 is 2 x 2 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(161, 597) = 96117

GCD(161, 597) = ( 161 x 597 ) / 96117

GCD(161, 597) = 96117 / 96117

GCD(161, 597) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 161, 597, 36, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 816, 46, 826
• GCD of 112, 348, 89, 726
• GCD of 644, 717, 24, 257
• GCD of 616, 412, 68, 666
• GCD of 623, 146, 40, 290

1. What is the GCD of 161, 597, 36, 116?

GCD of 161, 597, 36, 116 is 1

2. Where do I get the detailed procedure to find GCD of 161, 597, 36, 116?

You can find a detailed procedure to find GCD of 161, 597, 36, 116 on our page.

3. How to find GCD of 161, 597, 36, 116 on a calculator?

You can find the GCD of 161, 597, 36, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.