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 973, 322, 442, 527 i.e. 1 largest integer that divides all the numbers equally.
GCD of 973, 322, 442, 527 is 1
GCD(973, 322, 442, 527) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 973, 322, 442, 527 is 1
GCD(973, 322, 442, 527) = 1
Given Input numbers are 973, 322, 442, 527
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
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 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Greatest Common Divisior
We found the divisors of 973, 322, 442, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 322, 442, 527 is 1.
Therefore, GCD of numbers 973, 322, 442, 527 is 1
Given Input Data is 973, 322, 442, 527
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 973 is 7 x 139
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 527 is 17 x 31
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(973, 322) = 44758
GCD(973, 322) = ( 973 x 322 ) / 44758
GCD(973, 322) = 313306 / 44758
GCD(973, 322) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 442) = 3094
GCD(7, 442) = ( 7 x 442 ) / 3094
GCD(7, 442) = 3094 / 3094
GCD(7, 442) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 527
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 527) = 527
GCD(1, 527) = ( 1 x 527 ) / 527
GCD(1, 527) = 527 / 527
GCD(1, 527) = 1
GCD of 973, 322, 442, 527 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 973, 322, 442, 527?
GCD of 973, 322, 442, 527 is 1
2. Where do I get the detailed procedure to find GCD of 973, 322, 442, 527?
You can find a detailed procedure to find GCD of 973, 322, 442, 527 on our page.
3. How to find GCD of 973, 322, 442, 527 on a calculator?
You can find the GCD of 973, 322, 442, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.