GCD of 689, 800, 55, 666 Calculator

Given Input numbers are 689, 800, 55, 666

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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Greatest Common Divisior

We found the divisors of 689, 800, 55, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 800, 55, 666 is 1.

Therefore, GCD of numbers 689, 800, 55, 666 is 1

Given Input Data is 689, 800, 55, 666

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 55 is 5 x 11

Prime Factorization of 666 is 2 x 3 x 3 x 37

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, 800) = 551200

GCD(689, 800) = ( 689 x 800 ) / 551200

GCD(689, 800) = 551200 / 551200

GCD(689, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 666

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

LCM(1, 666) = 666

GCD(1, 666) = ( 1 x 666 ) / 666

GCD(1, 666) = 666 / 666

GCD(1, 666) = 1

GCD of 689, 800, 55, 666 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 326, 90, 709
• GCD of 974, 240, 59, 689
• GCD of 977, 567, 46, 337
• GCD of 539, 149, 10, 109
• GCD of 633, 733, 57, 455

1. What is the GCD of 689, 800, 55, 666?

GCD of 689, 800, 55, 666 is 1

2. Where do I get the detailed procedure to find GCD of 689, 800, 55, 666?

You can find a detailed procedure to find GCD of 689, 800, 55, 666 on our page.

3. How to find GCD of 689, 800, 55, 666 on a calculator?

You can find the GCD of 689, 800, 55, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.