GCD of 528, 567, 457, 722 Calculator

Given Input numbers are 528, 567, 457, 722

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 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 528, 567, 457, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 567, 457, 722 is 1.

Therefore, GCD of numbers 528, 567, 457, 722 is 1

Given Input Data is 528, 567, 457, 722

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 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 457 is 457

Prime Factorization of 722 is 2 x 19 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(528, 567) = 99792

GCD(528, 567) = ( 528 x 567 ) / 99792

GCD(528, 567) = 299376 / 99792

GCD(528, 567) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 457

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

LCM(3, 457) = 1371

GCD(3, 457) = ( 3 x 457 ) / 1371

GCD(3, 457) = 1371 / 1371

GCD(3, 457) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 528, 567, 457, 722 is 1

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1. What is the GCD of 528, 567, 457, 722?

GCD of 528, 567, 457, 722 is 1

2. Where do I get the detailed procedure to find GCD of 528, 567, 457, 722?

You can find a detailed procedure to find GCD of 528, 567, 457, 722 on our page.

3. How to find GCD of 528, 567, 457, 722 on a calculator?

You can find the GCD of 528, 567, 457, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.