GCD of 689, 990, 450, 713 Calculator

Given Input numbers are 689, 990, 450, 713

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 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 689, 990, 450, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 990, 450, 713 is 1.

Therefore, GCD of numbers 689, 990, 450, 713 is 1

Given Input Data is 689, 990, 450, 713

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 713 is 23 x 31

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, 990) = 682110

GCD(689, 990) = ( 689 x 990 ) / 682110

GCD(689, 990) = 682110 / 682110

GCD(689, 990) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 689, 990, 450, 713 is 1

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1. What is the GCD of 689, 990, 450, 713?

GCD of 689, 990, 450, 713 is 1

2. Where do I get the detailed procedure to find GCD of 689, 990, 450, 713?

You can find a detailed procedure to find GCD of 689, 990, 450, 713 on our page.

3. How to find GCD of 689, 990, 450, 713 on a calculator?

You can find the GCD of 689, 990, 450, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.