GCD of 106, 606, 36, 915 Calculator

Given Input numbers are 106, 606, 36, 915

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

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 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Greatest Common Divisior

We found the divisors of 106, 606, 36, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 606, 36, 915 is 1.

Therefore, GCD of numbers 106, 606, 36, 915 is 1

Given Input Data is 106, 606, 36, 915

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 606 is 2 x 3 x 101

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

Prime Factorization of 915 is 3 x 5 x 61

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(106, 606) = 32118

GCD(106, 606) = ( 106 x 606 ) / 32118

GCD(106, 606) = 64236 / 32118

GCD(106, 606) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 915

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

LCM(2, 915) = 1830

GCD(2, 915) = ( 2 x 915 ) / 1830

GCD(2, 915) = 1830 / 1830

GCD(2, 915) = 1

GCD of 106, 606, 36, 915 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 668, 326, 43, 967
• GCD of 700, 227, 36, 879
• GCD of 915, 435, 97, 967
• GCD of 231, 571, 10, 382
• GCD of 745, 175, 64, 794

1. What is the GCD of 106, 606, 36, 915?

GCD of 106, 606, 36, 915 is 1

2. Where do I get the detailed procedure to find GCD of 106, 606, 36, 915?

You can find a detailed procedure to find GCD of 106, 606, 36, 915 on our page.

3. How to find GCD of 106, 606, 36, 915 on a calculator?

You can find the GCD of 106, 606, 36, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.