GCD of 533, 689, 578, 953 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 533, 689, 578, 953 i.e. 1 largest integer that divides all the numbers equally.

GCD of 533, 689, 578, 953 is 1

GCD(533, 689, 578, 953) = 1

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

GCD of

GCD of numbers 533, 689, 578, 953 is 1

GCD(533, 689, 578, 953) = 1

GCD of 533,689,578,953 Calculator

GCDof 533,689,578,953 is 1

Given Input numbers are 533, 689, 578, 953

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

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 533, 689, 578, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 689, 578, 953 is 1.

Therefore, GCD of numbers 533, 689, 578, 953 is 1

Finding GCD of 533, 689, 578, 953 using Prime Factorization

Given Input Data is 533, 689, 578, 953

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

Prime Factorization of 533 is 13 x 41

Prime Factorization of 689 is 13 x 53

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 953 is 953

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

Finding GCD of 533, 689, 578, 953 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(533, 689) = 28249

GCD(533, 689) = ( 533 x 689 ) / 28249

GCD(533, 689) = 367237 / 28249

GCD(533, 689) = 13


Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 578

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

LCM(13, 578) = 7514

GCD(13, 578) = ( 13 x 578 ) / 7514

GCD(13, 578) = 7514 / 7514

GCD(13, 578) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 533, 689, 578, 953 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 533, 689, 578, 953

1. What is the GCD of 533, 689, 578, 953?

GCD of 533, 689, 578, 953 is 1


2. Where do I get the detailed procedure to find GCD of 533, 689, 578, 953?

You can find a detailed procedure to find GCD of 533, 689, 578, 953 on our page.


3. How to find GCD of 533, 689, 578, 953 on a calculator?

You can find the GCD of 533, 689, 578, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.