GCD of 528, 794, 623, 600 Calculator

Given Input numbers are 528, 794, 623, 600

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 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 528, 794, 623, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 794, 623, 600 is 1.

Therefore, GCD of numbers 528, 794, 623, 600 is 1

Given Input Data is 528, 794, 623, 600

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 794 is 2 x 397

Prime Factorization of 623 is 7 x 89

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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, 794) = 209616

GCD(528, 794) = ( 528 x 794 ) / 209616

GCD(528, 794) = 419232 / 209616

GCD(528, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 623

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

LCM(2, 623) = 1246

GCD(2, 623) = ( 2 x 623 ) / 1246

GCD(2, 623) = 1246 / 1246

GCD(2, 623) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 528, 794, 623, 600 is 1

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1. What is the GCD of 528, 794, 623, 600?

GCD of 528, 794, 623, 600 is 1

2. Where do I get the detailed procedure to find GCD of 528, 794, 623, 600?

You can find a detailed procedure to find GCD of 528, 794, 623, 600 on our page.

3. How to find GCD of 528, 794, 623, 600 on a calculator?

You can find the GCD of 528, 794, 623, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.