GCD of 221, 693, 156, 528 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 221, 693, 156, 528 i.e. 1 largest integer that divides all the numbers equally.

GCD of 221, 693, 156, 528 is 1

GCD(221, 693, 156, 528) = 1

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

GCD of

GCD of numbers 221, 693, 156, 528 is 1

GCD(221, 693, 156, 528) = 1

GCD of 221,693,156,528 Calculator

GCDof 221,693,156,528 is 1

Given Input numbers are 221, 693, 156, 528

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 221, 693, 156, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 693, 156, 528 is 1.

Therefore, GCD of numbers 221, 693, 156, 528 is 1

Finding GCD of 221, 693, 156, 528 using Prime Factorization

Given Input Data is 221, 693, 156, 528

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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

Finding GCD of 221, 693, 156, 528 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(221, 693) = 153153

GCD(221, 693) = ( 221 x 693 ) / 153153

GCD(221, 693) = 153153 / 153153

GCD(221, 693) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 156

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

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

GCD(1, 156) = 156 / 156

GCD(1, 156) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 221, 693, 156, 528 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 221, 693, 156, 528

1. What is the GCD of 221, 693, 156, 528?

GCD of 221, 693, 156, 528 is 1


2. Where do I get the detailed procedure to find GCD of 221, 693, 156, 528?

You can find a detailed procedure to find GCD of 221, 693, 156, 528 on our page.


3. How to find GCD of 221, 693, 156, 528 on a calculator?

You can find the GCD of 221, 693, 156, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.