GCD of 363, 262, 65, 133 Calculator

Given Input numbers are 363, 262, 65, 133

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

Divisors of 363

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

1, 3, 11, 33, 121, 363

Divisors of 262

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

1, 2, 131, 262

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 363, 262, 65, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 262, 65, 133 is 1.

Therefore, GCD of numbers 363, 262, 65, 133 is 1

Given Input Data is 363, 262, 65, 133

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 262 is 2 x 131

Prime Factorization of 65 is 5 x 13

Prime Factorization of 133 is 7 x 19

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(363, 262) = 95106

GCD(363, 262) = ( 363 x 262 ) / 95106

GCD(363, 262) = 95106 / 95106

GCD(363, 262) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 363, 262, 65, 133 is 1

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1. What is the GCD of 363, 262, 65, 133?

GCD of 363, 262, 65, 133 is 1

2. Where do I get the detailed procedure to find GCD of 363, 262, 65, 133?

You can find a detailed procedure to find GCD of 363, 262, 65, 133 on our page.

3. How to find GCD of 363, 262, 65, 133 on a calculator?

You can find the GCD of 363, 262, 65, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.