GCD of 145, 416, 313, 636 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 145, 416, 313, 636 i.e. 1 largest integer that divides all the numbers equally.

GCD of 145, 416, 313, 636 is 1

GCD(145, 416, 313, 636) = 1

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

GCD of

GCD of numbers 145, 416, 313, 636 is 1

GCD(145, 416, 313, 636) = 1

GCD of 145,416,313,636 Calculator

GCDof 145,416,313,636 is 1

Given Input numbers are 145, 416, 313, 636

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 145, 416, 313, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 416, 313, 636 is 1.

Therefore, GCD of numbers 145, 416, 313, 636 is 1

Finding GCD of 145, 416, 313, 636 using Prime Factorization

Given Input Data is 145, 416, 313, 636

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 313 is 313

Prime Factorization of 636 is 2 x 2 x 3 x 53

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

Finding GCD of 145, 416, 313, 636 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(145, 416) = 60320

GCD(145, 416) = ( 145 x 416 ) / 60320

GCD(145, 416) = 60320 / 60320

GCD(145, 416) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 636

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

LCM(1, 636) = 636

GCD(1, 636) = ( 1 x 636 ) / 636

GCD(1, 636) = 636 / 636

GCD(1, 636) = 1

GCD of 145, 416, 313, 636 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 145, 416, 313, 636

1. What is the GCD of 145, 416, 313, 636?

GCD of 145, 416, 313, 636 is 1


2. Where do I get the detailed procedure to find GCD of 145, 416, 313, 636?

You can find a detailed procedure to find GCD of 145, 416, 313, 636 on our page.


3. How to find GCD of 145, 416, 313, 636 on a calculator?

You can find the GCD of 145, 416, 313, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.