GCD of 39, 316, 890, 253 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 39, 316, 890, 253 i.e. 1 largest integer that divides all the numbers equally.

GCD of 39, 316, 890, 253 is 1

GCD(39, 316, 890, 253) = 1

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

GCD of

GCD of numbers 39, 316, 890, 253 is 1

GCD(39, 316, 890, 253) = 1

GCD of 39,316,890,253 Calculator

GCDof 39,316,890,253 is 1

Given Input numbers are 39, 316, 890, 253

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 39, 316, 890, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 316, 890, 253 is 1.

Therefore, GCD of numbers 39, 316, 890, 253 is 1

Finding GCD of 39, 316, 890, 253 using Prime Factorization

Given Input Data is 39, 316, 890, 253

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 253 is 11 x 23

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

Finding GCD of 39, 316, 890, 253 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(39, 316) = 12324

GCD(39, 316) = ( 39 x 316 ) / 12324

GCD(39, 316) = 12324 / 12324

GCD(39, 316) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 39, 316, 890, 253 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 39, 316, 890, 253

1. What is the GCD of 39, 316, 890, 253?

GCD of 39, 316, 890, 253 is 1


2. Where do I get the detailed procedure to find GCD of 39, 316, 890, 253?

You can find a detailed procedure to find GCD of 39, 316, 890, 253 on our page.


3. How to find GCD of 39, 316, 890, 253 on a calculator?

You can find the GCD of 39, 316, 890, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.