GCD of 693, 759, 573, 612 Calculator

Given Input numbers are 693, 759, 573, 612

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 693, 759, 573, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 759, 573, 612 is 3.

Therefore, GCD of numbers 693, 759, 573, 612 is 3

Given Input Data is 693, 759, 573, 612

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 573 is 3 x 191

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(693, 759) = 15939

GCD(693, 759) = ( 693 x 759 ) / 15939

GCD(693, 759) = 525987 / 15939

GCD(693, 759) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 573

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

LCM(33, 573) = 6303

GCD(33, 573) = ( 33 x 573 ) / 6303

GCD(33, 573) = 18909 / 6303

GCD(33, 573) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 612

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

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

GCD(3, 612) = 1836 / 612

GCD(3, 612) = 3

GCD of 693, 759, 573, 612 is 3

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1. What is the GCD of 693, 759, 573, 612?

GCD of 693, 759, 573, 612 is 3

2. Where do I get the detailed procedure to find GCD of 693, 759, 573, 612?

You can find a detailed procedure to find GCD of 693, 759, 573, 612 on our page.

3. How to find GCD of 693, 759, 573, 612 on a calculator?

You can find the GCD of 693, 759, 573, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.