GCD of 363, 545, 66, 422 Calculator

Given Input numbers are 363, 545, 66, 422

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 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 363, 545, 66, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 545, 66, 422 is 1.

Therefore, GCD of numbers 363, 545, 66, 422 is 1

Given Input Data is 363, 545, 66, 422

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 545 is 5 x 109

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 422 is 2 x 211

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, 545) = 197835

GCD(363, 545) = ( 363 x 545 ) / 197835

GCD(363, 545) = 197835 / 197835

GCD(363, 545) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 363, 545, 66, 422 is 1

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1. What is the GCD of 363, 545, 66, 422?

GCD of 363, 545, 66, 422 is 1

2. Where do I get the detailed procedure to find GCD of 363, 545, 66, 422?

You can find a detailed procedure to find GCD of 363, 545, 66, 422 on our page.

3. How to find GCD of 363, 545, 66, 422 on a calculator?

You can find the GCD of 363, 545, 66, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.