GCD of 478, 532, 36, 561 Calculator

Given Input numbers are 478, 532, 36, 561

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 478, 532, 36, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 532, 36, 561 is 1.

Therefore, GCD of numbers 478, 532, 36, 561 is 1

Given Input Data is 478, 532, 36, 561

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 532 is 2 x 2 x 7 x 19

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

Prime Factorization of 561 is 3 x 11 x 17

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(478, 532) = 127148

GCD(478, 532) = ( 478 x 532 ) / 127148

GCD(478, 532) = 254296 / 127148

GCD(478, 532) = 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 561

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

LCM(2, 561) = 1122

GCD(2, 561) = ( 2 x 561 ) / 1122

GCD(2, 561) = 1122 / 1122

GCD(2, 561) = 1

GCD of 478, 532, 36, 561 is 1

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1. What is the GCD of 478, 532, 36, 561?

GCD of 478, 532, 36, 561 is 1

2. Where do I get the detailed procedure to find GCD of 478, 532, 36, 561?

You can find a detailed procedure to find GCD of 478, 532, 36, 561 on our page.

3. How to find GCD of 478, 532, 36, 561 on a calculator?

You can find the GCD of 478, 532, 36, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.