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 561, 730, 59, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 561, 730, 59, 346 is 1
GCD(561, 730, 59, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 561, 730, 59, 346 is 1
GCD(561, 730, 59, 346) = 1
Given Input numbers are 561, 730, 59, 346
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 561, 730, 59, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 730, 59, 346 is 1.
Therefore, GCD of numbers 561, 730, 59, 346 is 1
Given Input Data is 561, 730, 59, 346
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 59 is 59
Prime Factorization of 346 is 2 x 173
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(561, 730) = 409530
GCD(561, 730) = ( 561 x 730 ) / 409530
GCD(561, 730) = 409530 / 409530
GCD(561, 730) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
GCD of 561, 730, 59, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 561, 730, 59, 346?
GCD of 561, 730, 59, 346 is 1
2. Where do I get the detailed procedure to find GCD of 561, 730, 59, 346?
You can find a detailed procedure to find GCD of 561, 730, 59, 346 on our page.
3. How to find GCD of 561, 730, 59, 346 on a calculator?
You can find the GCD of 561, 730, 59, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.