Where do I get the detailed procedure to find GCD of 690, 405, 57?

You can find a detailed procedure to find GCD of 690, 405, 57 on our page.

How to find GCD of 690, 405, 57 on a calculator?

You can find the GCD of 690, 405, 57 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 690, 405, 57 Calculator

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

Online GCD Calculator is useful to find the GCD of 690, 405, 57 quickly. Get the easiest ways to solve the greatest common divisor of 690, 405, 57 i.e 3 in different methods as follows.

How to Find GCD of Numbers 690, 405, 57 with Factoring?

Given Input numbers are 690, 405, 57

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 57 :

The positive integer divisors of 57 that completely divides 57 are.

1, 3, 19, 57

GCD of numbers is the greatest common divisor

So, the GCD (690, 405, 57) = 3.

Find GCD of 690, 405, 57 using Prime Factorization

Given numbers are 690, 405, 57

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 57 are 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 690, 405, 57 is 3.

Steps to Calculate GCD of 690, 405, 57 using LCM Formula

Given numbers are 690, 405, 57

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

Apply this formula for all numbers.

Step1:

LCM(690, 405) = 18630

GCD(690, 405) = ( 690 x 405 ) / 18630

= 690 / 405

= 690

Step2:

LCM(15, 57) = 285

GCD(15, 57) = ( 15 x 57 ) / 285

= 15 / 57

= 15

So, Greatest Common Divisor of 690, 405, 57 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 690, 405, 57

Given numbers are 690, 405, 57
The greatest common divisor of numbers 690, 405, 57 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 405, 57 is 3.

FAQs on GCD of 690, 405, 57 Calculator

1. What is the GCD of 690, 405, 57?

GCD of given numbers 690, 405, 57 is 3

2. How to calculate the greatest common divisor of 690, 405, 57?

We can find the highest common divisor of 690, 405, 57 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 690, 405, 57 i.e 3.

3. How can I use the GCD of 690, 405, 57Calculator?

Out the numbers 690, 405, 57 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.