GCD of 689, 408, 150, 573 Calculator

Given Input numbers are 689, 408, 150, 573

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

Divisors of 689

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

1, 13, 53, 689

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 573

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

1, 3, 191, 573

Greatest Common Divisior

We found the divisors of 689, 408, 150, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 408, 150, 573 is 1.

Therefore, GCD of numbers 689, 408, 150, 573 is 1

Given Input Data is 689, 408, 150, 573

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 573 is 3 x 191

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(689, 408) = 281112

GCD(689, 408) = ( 689 x 408 ) / 281112

GCD(689, 408) = 281112 / 281112

GCD(689, 408) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 573

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

LCM(1, 573) = 573

GCD(1, 573) = ( 1 x 573 ) / 573

GCD(1, 573) = 573 / 573

GCD(1, 573) = 1

GCD of 689, 408, 150, 573 is 1

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1. What is the GCD of 689, 408, 150, 573?

GCD of 689, 408, 150, 573 is 1

2. Where do I get the detailed procedure to find GCD of 689, 408, 150, 573?

You can find a detailed procedure to find GCD of 689, 408, 150, 573 on our page.

3. How to find GCD of 689, 408, 150, 573 on a calculator?

You can find the GCD of 689, 408, 150, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.