GCD of 65, 422, 689, 144 Calculator

Given Input numbers are 65, 422, 689, 144

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 689

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

1, 13, 53, 689

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 65, 422, 689, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 422, 689, 144 is 1.

Therefore, GCD of numbers 65, 422, 689, 144 is 1

Given Input Data is 65, 422, 689, 144

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 422 is 2 x 211

Prime Factorization of 689 is 13 x 53

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(65, 422) = 27430

GCD(65, 422) = ( 65 x 422 ) / 27430

GCD(65, 422) = 27430 / 27430

GCD(65, 422) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 65, 422, 689, 144 is 1

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1. What is the GCD of 65, 422, 689, 144?

GCD of 65, 422, 689, 144 is 1

2. Where do I get the detailed procedure to find GCD of 65, 422, 689, 144?

You can find a detailed procedure to find GCD of 65, 422, 689, 144 on our page.

3. How to find GCD of 65, 422, 689, 144 on a calculator?

You can find the GCD of 65, 422, 689, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.