GCD of 972, 544, 385, 805 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 972, 544, 385, 805 i.e. 1 largest integer that divides all the numbers equally.

GCD of 972, 544, 385, 805 is 1

GCD(972, 544, 385, 805) = 1

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

GCD of

GCD of numbers 972, 544, 385, 805 is 1

GCD(972, 544, 385, 805) = 1

GCD of 972,544,385,805 Calculator

GCDof 972,544,385,805 is 1

Given Input numbers are 972, 544, 385, 805

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Greatest Common Divisior

We found the divisors of 972, 544, 385, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 544, 385, 805 is 1.

Therefore, GCD of numbers 972, 544, 385, 805 is 1

Finding GCD of 972, 544, 385, 805 using Prime Factorization

Given Input Data is 972, 544, 385, 805

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 805 is 5 x 7 x 23

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

Finding GCD of 972, 544, 385, 805 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(972, 544) = 132192

GCD(972, 544) = ( 972 x 544 ) / 132192

GCD(972, 544) = 528768 / 132192

GCD(972, 544) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 385

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

LCM(4, 385) = 1540

GCD(4, 385) = ( 4 x 385 ) / 1540

GCD(4, 385) = 1540 / 1540

GCD(4, 385) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

GCD of 972, 544, 385, 805 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 972, 544, 385, 805

1. What is the GCD of 972, 544, 385, 805?

GCD of 972, 544, 385, 805 is 1


2. Where do I get the detailed procedure to find GCD of 972, 544, 385, 805?

You can find a detailed procedure to find GCD of 972, 544, 385, 805 on our page.


3. How to find GCD of 972, 544, 385, 805 on a calculator?

You can find the GCD of 972, 544, 385, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.