GCD of 559, 989, 554, 738 Calculator

Given Input numbers are 559, 989, 554, 738

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

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 559, 989, 554, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 989, 554, 738 is 1.

Therefore, GCD of numbers 559, 989, 554, 738 is 1

Given Input Data is 559, 989, 554, 738

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 989 is 23 x 43

Prime Factorization of 554 is 2 x 277

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(559, 989) = 12857

GCD(559, 989) = ( 559 x 989 ) / 12857

GCD(559, 989) = 552851 / 12857

GCD(559, 989) = 43

Step2:

Here we consider the GCD from the above i.e. 43 as first number and the next as 554

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

LCM(43, 554) = 23822

GCD(43, 554) = ( 43 x 554 ) / 23822

GCD(43, 554) = 23822 / 23822

GCD(43, 554) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 559, 989, 554, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 155, 256, 767
• GCD of 941, 943, 950, 800
• GCD of 136, 666, 110, 346
• GCD of 822, 338, 579, 620
• GCD of 522, 702, 819, 793

1. What is the GCD of 559, 989, 554, 738?

GCD of 559, 989, 554, 738 is 1

2. Where do I get the detailed procedure to find GCD of 559, 989, 554, 738?

You can find a detailed procedure to find GCD of 559, 989, 554, 738 on our page.

3. How to find GCD of 559, 989, 554, 738 on a calculator?

You can find the GCD of 559, 989, 554, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.