GCD of 69, 930, 744, 563 Calculator

Given Input numbers are 69, 930, 744, 563

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 69, 930, 744, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 930, 744, 563 is 1.

Therefore, GCD of numbers 69, 930, 744, 563 is 1

Given Input Data is 69, 930, 744, 563

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 563 is 563

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(69, 930) = 21390

GCD(69, 930) = ( 69 x 930 ) / 21390

GCD(69, 930) = 64170 / 21390

GCD(69, 930) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 744

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

LCM(3, 744) = 744

GCD(3, 744) = ( 3 x 744 ) / 744

GCD(3, 744) = 2232 / 744

GCD(3, 744) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 563

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

LCM(3, 563) = 1689

GCD(3, 563) = ( 3 x 563 ) / 1689

GCD(3, 563) = 1689 / 1689

GCD(3, 563) = 1

GCD of 69, 930, 744, 563 is 1

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1. What is the GCD of 69, 930, 744, 563?

GCD of 69, 930, 744, 563 is 1

2. Where do I get the detailed procedure to find GCD of 69, 930, 744, 563?

You can find a detailed procedure to find GCD of 69, 930, 744, 563 on our page.

3. How to find GCD of 69, 930, 744, 563 on a calculator?

You can find the GCD of 69, 930, 744, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.