GCD of 528, 590, 50, 689 Calculator

Given Input numbers are 528, 590, 50, 689

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 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 689

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

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 528, 590, 50, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 590, 50, 689 is 1.

Therefore, GCD of numbers 528, 590, 50, 689 is 1

Given Input Data is 528, 590, 50, 689

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 590 is 2 x 5 x 59

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 689 is 13 x 53

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, 590) = 155760

GCD(528, 590) = ( 528 x 590 ) / 155760

GCD(528, 590) = 311520 / 155760

GCD(528, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

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

GCD of 528, 590, 50, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 956, 20, 224
• GCD of 864, 739, 73, 643
• GCD of 213, 680, 30, 650
• GCD of 624, 802, 25, 174
• GCD of 479, 568, 51, 786

1. What is the GCD of 528, 590, 50, 689?

GCD of 528, 590, 50, 689 is 1

2. Where do I get the detailed procedure to find GCD of 528, 590, 50, 689?

You can find a detailed procedure to find GCD of 528, 590, 50, 689 on our page.

3. How to find GCD of 528, 590, 50, 689 on a calculator?

You can find the GCD of 528, 590, 50, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.