Where do I get the detailed procedure to find GCD of 689, 200, 66?

You can find a detailed procedure to find GCD of 689, 200, 66 on our page.

How to find GCD of 689, 200, 66 on a calculator?

You can find the GCD of 689, 200, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 689, 200, 66 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 689, 200, 66 quickly. Get the easiest ways to solve the greatest common divisor of 689, 200, 66 i.e 1 in different methods as follows.

How to Find GCD of Numbers 689, 200, 66 with Factoring?

Given Input numbers are 689, 200, 66

In the factoring method, we have to find the divisors of all numbers

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 66 :

The positive integer divisors of 66 that completely divides 66 are.

1, 2, 3, 6, 11, 22, 33, 66

GCD of numbers is the greatest common divisor

So, the GCD (689, 200, 66) = 1.

Find GCD of 689, 200, 66 using Prime Factorization

Given numbers are 689, 200, 66

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 66 are 2 x 3 x 11

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 689, 200, 66 using LCM Formula

Given numbers are 689, 200, 66

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(689, 200) = 137800

GCD(689, 200) = ( 689 x 200 ) / 137800

= 689 / 200

= 689

Step2:

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

= 1 / 66

= 1

So, Greatest Common Divisor of 689, 200, 66 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 689, 200, 66

Given numbers are 689, 200, 66
The greatest common divisor of numbers 689, 200, 66 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 200, 66 is 1.

FAQs on GCD of 689, 200, 66 Calculator

1. What is the GCD of 689, 200, 66?

GCD of given numbers 689, 200, 66 is 1

2. How to calculate the greatest common divisor of 689, 200, 66?

We can find the highest common divisor of 689, 200, 66 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 689, 200, 66 i.e 1.

3. How can I use the GCD of 689, 200, 66Calculator?

Out the numbers 689, 200, 66 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.