GCD of 689, 860, 73, 440 Calculator

Given Input numbers are 689, 860, 73, 440

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 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 689, 860, 73, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 860, 73, 440 is 1.

Therefore, GCD of numbers 689, 860, 73, 440 is 1

Given Input Data is 689, 860, 73, 440

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 73 is 73

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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, 860) = 592540

GCD(689, 860) = ( 689 x 860 ) / 592540

GCD(689, 860) = 592540 / 592540

GCD(689, 860) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

GCD of 689, 860, 73, 440 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 593, 36, 374
• GCD of 951, 827, 52, 588
• GCD of 837, 759, 52, 746
• GCD of 411, 218, 22, 833
• GCD of 454, 654, 16, 786

1. What is the GCD of 689, 860, 73, 440?

GCD of 689, 860, 73, 440 is 1

2. Where do I get the detailed procedure to find GCD of 689, 860, 73, 440?

You can find a detailed procedure to find GCD of 689, 860, 73, 440 on our page.

3. How to find GCD of 689, 860, 73, 440 on a calculator?

You can find the GCD of 689, 860, 73, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.