GCD of 690, 210, 96, 569 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 690, 210, 96, 569 i.e. 1 largest integer that divides all the numbers equally.

GCD of 690, 210, 96, 569 is 1

GCD(690, 210, 96, 569) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 690, 210, 96, 569 is 1

GCD(690, 210, 96, 569) = 1

GCD of 690,210,96,569 Calculator

GCDof 690,210,96,569 is 1

Given Input numbers are 690, 210, 96, 569

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 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Greatest Common Divisior

We found the divisors of 690, 210, 96, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 210, 96, 569 is 1.

Therefore, GCD of numbers 690, 210, 96, 569 is 1

Finding GCD of 690, 210, 96, 569 using Prime Factorization

Given Input Data is 690, 210, 96, 569

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 210 is 2 x 3 x 5 x 7

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 569 is 569

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

Finding GCD of 690, 210, 96, 569 using LCM Formula

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, 210) = 4830

GCD(690, 210) = ( 690 x 210 ) / 4830

GCD(690, 210) = 144900 / 4830

GCD(690, 210) = 30


Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 96

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

LCM(30, 96) = 480

GCD(30, 96) = ( 30 x 96 ) / 480

GCD(30, 96) = 2880 / 480

GCD(30, 96) = 6


Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 569

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

LCM(6, 569) = 3414

GCD(6, 569) = ( 6 x 569 ) / 3414

GCD(6, 569) = 3414 / 3414

GCD(6, 569) = 1

GCD of 690, 210, 96, 569 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 690, 210, 96, 569

1. What is the GCD of 690, 210, 96, 569?

GCD of 690, 210, 96, 569 is 1


2. Where do I get the detailed procedure to find GCD of 690, 210, 96, 569?

You can find a detailed procedure to find GCD of 690, 210, 96, 569 on our page.


3. How to find GCD of 690, 210, 96, 569 on a calculator?

You can find the GCD of 690, 210, 96, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.