GCD of 690, 570, 279 Calculator

Given Input numbers are 690, 570, 279

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

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

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 690, 570, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 570, 279 is 3.

Therefore, GCD of numbers 690, 570, 279 is 3

Given Input Data is 690, 570, 279

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 279 is 3 x 3 x 31

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(690, 570) = 13110

GCD(690, 570) = ( 690 x 570 ) / 13110

GCD(690, 570) = 393300 / 13110

GCD(690, 570) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 279

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

LCM(30, 279) = 2790

GCD(30, 279) = ( 30 x 279 ) / 2790

GCD(30, 279) = 8370 / 2790

GCD(30, 279) = 3

GCD of 690, 570, 279 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 553, 132
• GCD of 440, 259, 900
• GCD of 114, 708, 665
• GCD of 483, 193, 405
• GCD of 421, 352, 493

1. What is the GCD of 690, 570, 279?

GCD of 690, 570, 279 is 3

2. Where do I get the detailed procedure to find GCD of 690, 570, 279?

You can find a detailed procedure to find GCD of 690, 570, 279 on our page.

3. How to find GCD of 690, 570, 279 on a calculator?

You can find the GCD of 690, 570, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.