GCD of 897, 142, 364, 832 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 897, 142, 364, 832 i.e. 1 largest integer that divides all the numbers equally.

GCD of 897, 142, 364, 832 is 1

GCD(897, 142, 364, 832) = 1

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

GCD of

GCD of numbers 897, 142, 364, 832 is 1

GCD(897, 142, 364, 832) = 1

GCD of 897,142,364,832 Calculator

GCDof 897,142,364,832 is 1

Given Input numbers are 897, 142, 364, 832

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

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Greatest Common Divisior

We found the divisors of 897, 142, 364, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 142, 364, 832 is 1.

Therefore, GCD of numbers 897, 142, 364, 832 is 1

Finding GCD of 897, 142, 364, 832 using Prime Factorization

Given Input Data is 897, 142, 364, 832

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

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 142 is 2 x 71

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

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

Finding GCD of 897, 142, 364, 832 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(897, 142) = 127374

GCD(897, 142) = ( 897 x 142 ) / 127374

GCD(897, 142) = 127374 / 127374

GCD(897, 142) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 832

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

LCM(1, 832) = 832

GCD(1, 832) = ( 1 x 832 ) / 832

GCD(1, 832) = 832 / 832

GCD(1, 832) = 1

GCD of 897, 142, 364, 832 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 897, 142, 364, 832

1. What is the GCD of 897, 142, 364, 832?

GCD of 897, 142, 364, 832 is 1


2. Where do I get the detailed procedure to find GCD of 897, 142, 364, 832?

You can find a detailed procedure to find GCD of 897, 142, 364, 832 on our page.


3. How to find GCD of 897, 142, 364, 832 on a calculator?

You can find the GCD of 897, 142, 364, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.