GCD of 361, 515, 77, 561 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 361, 515, 77, 561 i.e. 1 largest integer that divides all the numbers equally.

GCD of 361, 515, 77, 561 is 1

GCD(361, 515, 77, 561) = 1

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

GCD of

GCD of numbers 361, 515, 77, 561 is 1

GCD(361, 515, 77, 561) = 1

GCD of 361,515,77,561 Calculator

GCDof 361,515,77,561 is 1

Given Input numbers are 361, 515, 77, 561

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 361, 515, 77, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 515, 77, 561 is 1.

Therefore, GCD of numbers 361, 515, 77, 561 is 1

Finding GCD of 361, 515, 77, 561 using Prime Factorization

Given Input Data is 361, 515, 77, 561

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 515 is 5 x 103

Prime Factorization of 77 is 7 x 11

Prime Factorization of 561 is 3 x 11 x 17

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

Finding GCD of 361, 515, 77, 561 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(361, 515) = 185915

GCD(361, 515) = ( 361 x 515 ) / 185915

GCD(361, 515) = 185915 / 185915

GCD(361, 515) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 361, 515, 77, 561 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 361, 515, 77, 561

1. What is the GCD of 361, 515, 77, 561?

GCD of 361, 515, 77, 561 is 1


2. Where do I get the detailed procedure to find GCD of 361, 515, 77, 561?

You can find a detailed procedure to find GCD of 361, 515, 77, 561 on our page.


3. How to find GCD of 361, 515, 77, 561 on a calculator?

You can find the GCD of 361, 515, 77, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.