GCD of 20, 912, 712, 689 Calculator

Given Input numbers are 20, 912, 712, 689

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

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 20, 912, 712, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 912, 712, 689 is 1.

Therefore, GCD of numbers 20, 912, 712, 689 is 1

Given Input Data is 20, 912, 712, 689

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 712 is 2 x 2 x 2 x 89

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(20, 912) = 4560

GCD(20, 912) = ( 20 x 912 ) / 4560

GCD(20, 912) = 18240 / 4560

GCD(20, 912) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 712

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

LCM(4, 712) = 712

GCD(4, 712) = ( 4 x 712 ) / 712

GCD(4, 712) = 2848 / 712

GCD(4, 712) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 689

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

LCM(4, 689) = 2756

GCD(4, 689) = ( 4 x 689 ) / 2756

GCD(4, 689) = 2756 / 2756

GCD(4, 689) = 1

GCD of 20, 912, 712, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 178, 132, 314
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• GCD of 27, 777, 454, 712
• GCD of 88, 784, 215, 759
• GCD of 77, 784, 466, 520

1. What is the GCD of 20, 912, 712, 689?

GCD of 20, 912, 712, 689 is 1

2. Where do I get the detailed procedure to find GCD of 20, 912, 712, 689?

You can find a detailed procedure to find GCD of 20, 912, 712, 689 on our page.

3. How to find GCD of 20, 912, 712, 689 on a calculator?

You can find the GCD of 20, 912, 712, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.