GCD of 569, 507, 16 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 569, 507, 16 i.e. 1 largest integer that divides all the numbers equally.

GCD of 569, 507, 16 is 1

GCD(569, 507, 16) = 1

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

GCD of

GCD of numbers 569, 507, 16 is 1

GCD(569, 507, 16) = 1

GCD of 569,507,16 Calculator

GCDof 569,507,16 is 1

Given Input numbers are 569, 507, 16

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

Divisors of 569

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

1, 569

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 569, 507, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 569, 507, 16 is 1.

Therefore, GCD of numbers 569, 507, 16 is 1

Finding GCD of 569, 507, 16 using Prime Factorization

Given Input Data is 569, 507, 16

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

Prime Factorization of 569 is 569

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 16 is 2 x 2 x 2 x 2

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

Finding GCD of 569, 507, 16 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(569, 507) = 288483

GCD(569, 507) = ( 569 x 507 ) / 288483

GCD(569, 507) = 288483 / 288483

GCD(569, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

GCD of 569, 507, 16 is 1

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FAQs on GCD of numbers 569, 507, 16

1. What is the GCD of 569, 507, 16?

GCD of 569, 507, 16 is 1

2. Where do I get the detailed procedure to find GCD of 569, 507, 16?

You can find a detailed procedure to find GCD of 569, 507, 16 on our page.

3. How to find GCD of 569, 507, 16 on a calculator?

You can find the GCD of 569, 507, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.