GCD of 966, 340, 72, 563 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 966, 340, 72, 563 i.e. 1 largest integer that divides all the numbers equally.

GCD of 966, 340, 72, 563 is 1

GCD(966, 340, 72, 563) = 1

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

GCD of

GCD of numbers 966, 340, 72, 563 is 1

GCD(966, 340, 72, 563) = 1

GCD of 966,340,72,563 Calculator

GCDof 966,340,72,563 is 1

Given Input numbers are 966, 340, 72, 563

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 563

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

1, 563

Greatest Common Divisior

We found the divisors of 966, 340, 72, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 340, 72, 563 is 1.

Therefore, GCD of numbers 966, 340, 72, 563 is 1

Finding GCD of 966, 340, 72, 563 using Prime Factorization

Given Input Data is 966, 340, 72, 563

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 563 is 563

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

Finding GCD of 966, 340, 72, 563 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(966, 340) = 164220

GCD(966, 340) = ( 966 x 340 ) / 164220

GCD(966, 340) = 328440 / 164220

GCD(966, 340) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 563

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

LCM(2, 563) = 1126

GCD(2, 563) = ( 2 x 563 ) / 1126

GCD(2, 563) = 1126 / 1126

GCD(2, 563) = 1

GCD of 966, 340, 72, 563 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 966, 340, 72, 563

1. What is the GCD of 966, 340, 72, 563?

GCD of 966, 340, 72, 563 is 1


2. Where do I get the detailed procedure to find GCD of 966, 340, 72, 563?

You can find a detailed procedure to find GCD of 966, 340, 72, 563 on our page.


3. How to find GCD of 966, 340, 72, 563 on a calculator?

You can find the GCD of 966, 340, 72, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.