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 numbers 361, 515, 77, 561 is 1
GCD(361, 515, 77, 561) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.