GCD of 36, 262, 363, 101 Calculator

Given Input numbers are 36, 262, 363, 101

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

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 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 36, 262, 363, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 262, 363, 101 is 1.

Therefore, GCD of numbers 36, 262, 363, 101 is 1

Given Input Data is 36, 262, 363, 101

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

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

Prime Factorization of 262 is 2 x 131

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 101 is 101

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(36, 262) = 4716

GCD(36, 262) = ( 36 x 262 ) / 4716

GCD(36, 262) = 9432 / 4716

GCD(36, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 363

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

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

GCD(2, 363) = 726 / 726

GCD(2, 363) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 36, 262, 363, 101 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 595, 767, 964
• GCD of 67, 226, 537, 802
• GCD of 16, 463, 918, 198
• GCD of 87, 141, 195, 570
• GCD of 21, 269, 745, 915

1. What is the GCD of 36, 262, 363, 101?

GCD of 36, 262, 363, 101 is 1

2. Where do I get the detailed procedure to find GCD of 36, 262, 363, 101?

You can find a detailed procedure to find GCD of 36, 262, 363, 101 on our page.

3. How to find GCD of 36, 262, 363, 101 on a calculator?

You can find the GCD of 36, 262, 363, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.