GCD of 622, 504, 689, 739 Calculator

Given Input numbers are 622, 504, 689, 739

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

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 622, 504, 689, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 622, 504, 689, 739 is 1.

Therefore, GCD of numbers 622, 504, 689, 739 is 1

Given Input Data is 622, 504, 689, 739

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

Prime Factorization of 622 is 2 x 311

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 689 is 13 x 53

Prime Factorization of 739 is 739

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(622, 504) = 156744

GCD(622, 504) = ( 622 x 504 ) / 156744

GCD(622, 504) = 313488 / 156744

GCD(622, 504) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

GCD of 622, 504, 689, 739 is 1

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1. What is the GCD of 622, 504, 689, 739?

GCD of 622, 504, 689, 739 is 1

2. Where do I get the detailed procedure to find GCD of 622, 504, 689, 739?

You can find a detailed procedure to find GCD of 622, 504, 689, 739 on our page.

3. How to find GCD of 622, 504, 689, 739 on a calculator?

You can find the GCD of 622, 504, 689, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.