GCD of 920, 689, 16, 664 Calculator

Given Input numbers are 920, 689, 16, 664

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 689

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

1, 13, 53, 689

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 920, 689, 16, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 689, 16, 664 is 1.

Therefore, GCD of numbers 920, 689, 16, 664 is 1

Given Input Data is 920, 689, 16, 664

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 689 is 13 x 53

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(920, 689) = 633880

GCD(920, 689) = ( 920 x 689 ) / 633880

GCD(920, 689) = 633880 / 633880

GCD(920, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 920, 689, 16, 664 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 920, 689, 16, 664?

GCD of 920, 689, 16, 664 is 1

2. Where do I get the detailed procedure to find GCD of 920, 689, 16, 664?

You can find a detailed procedure to find GCD of 920, 689, 16, 664 on our page.

3. How to find GCD of 920, 689, 16, 664 on a calculator?

You can find the GCD of 920, 689, 16, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.