GCD of 563, 521, 64, 698 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 563, 521, 64, 698 i.e. 1 largest integer that divides all the numbers equally.

GCD of 563, 521, 64, 698 is 1

GCD(563, 521, 64, 698) = 1

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

GCD of

GCD of numbers 563, 521, 64, 698 is 1

GCD(563, 521, 64, 698) = 1

GCD of 563,521,64,698 Calculator

GCDof 563,521,64,698 is 1

Given Input numbers are 563, 521, 64, 698

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

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 563, 521, 64, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 521, 64, 698 is 1.

Therefore, GCD of numbers 563, 521, 64, 698 is 1

Finding GCD of 563, 521, 64, 698 using Prime Factorization

Given Input Data is 563, 521, 64, 698

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

Prime Factorization of 563 is 563

Prime Factorization of 521 is 521

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 698 is 2 x 349

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

Finding GCD of 563, 521, 64, 698 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(563, 521) = 293323

GCD(563, 521) = ( 563 x 521 ) / 293323

GCD(563, 521) = 293323 / 293323

GCD(563, 521) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 563, 521, 64, 698 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 563, 521, 64, 698

1. What is the GCD of 563, 521, 64, 698?

GCD of 563, 521, 64, 698 is 1


2. Where do I get the detailed procedure to find GCD of 563, 521, 64, 698?

You can find a detailed procedure to find GCD of 563, 521, 64, 698 on our page.


3. How to find GCD of 563, 521, 64, 698 on a calculator?

You can find the GCD of 563, 521, 64, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.