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 322, 560, 66, 581 i.e. 1 largest integer that divides all the numbers equally.
GCD of 322, 560, 66, 581 is 1
GCD(322, 560, 66, 581) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 322, 560, 66, 581 is 1
GCD(322, 560, 66, 581) = 1
Given Input numbers are 322, 560, 66, 581
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 581
List of positive integer divisors of 581 that divides 581 without a remainder.
1, 7, 83, 581
Greatest Common Divisior
We found the divisors of 322, 560, 66, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 560, 66, 581 is 1.
Therefore, GCD of numbers 322, 560, 66, 581 is 1
Given Input Data is 322, 560, 66, 581
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 581 is 7 x 83
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(322, 560) = 12880
GCD(322, 560) = ( 322 x 560 ) / 12880
GCD(322, 560) = 180320 / 12880
GCD(322, 560) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 66) = 462
GCD(14, 66) = ( 14 x 66 ) / 462
GCD(14, 66) = 924 / 462
GCD(14, 66) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 581
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 581) = 1162
GCD(2, 581) = ( 2 x 581 ) / 1162
GCD(2, 581) = 1162 / 1162
GCD(2, 581) = 1
GCD of 322, 560, 66, 581 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 322, 560, 66, 581?
GCD of 322, 560, 66, 581 is 1
2. Where do I get the detailed procedure to find GCD of 322, 560, 66, 581?
You can find a detailed procedure to find GCD of 322, 560, 66, 581 on our page.
3. How to find GCD of 322, 560, 66, 581 on a calculator?
You can find the GCD of 322, 560, 66, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.