GCD of 528, 772, 408, 443 Calculator

Given Input numbers are 528, 772, 408, 443

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Greatest Common Divisior

We found the divisors of 528, 772, 408, 443 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 772, 408, 443 is 1.

Therefore, GCD of numbers 528, 772, 408, 443 is 1

Given Input Data is 528, 772, 408, 443

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 443 is 443

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(528, 772) = 101904

GCD(528, 772) = ( 528 x 772 ) / 101904

GCD(528, 772) = 407616 / 101904

GCD(528, 772) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 408

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

LCM(4, 408) = 408

GCD(4, 408) = ( 4 x 408 ) / 408

GCD(4, 408) = 1632 / 408

GCD(4, 408) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 443

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

LCM(4, 443) = 1772

GCD(4, 443) = ( 4 x 443 ) / 1772

GCD(4, 443) = 1772 / 1772

GCD(4, 443) = 1

GCD of 528, 772, 408, 443 is 1

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1. What is the GCD of 528, 772, 408, 443?

GCD of 528, 772, 408, 443 is 1

2. Where do I get the detailed procedure to find GCD of 528, 772, 408, 443?

You can find a detailed procedure to find GCD of 528, 772, 408, 443 on our page.

3. How to find GCD of 528, 772, 408, 443 on a calculator?

You can find the GCD of 528, 772, 408, 443 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.