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 97, 956, 573, 218 i.e. 1 largest integer that divides all the numbers equally.
GCD of 97, 956, 573, 218 is 1
GCD(97, 956, 573, 218) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 97, 956, 573, 218 is 1
GCD(97, 956, 573, 218) = 1
Given Input numbers are 97, 956, 573, 218
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Greatest Common Divisior
We found the divisors of 97, 956, 573, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 956, 573, 218 is 1.
Therefore, GCD of numbers 97, 956, 573, 218 is 1
Given Input Data is 97, 956, 573, 218
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 97 is 97
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 573 is 3 x 191
Prime Factorization of 218 is 2 x 109
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(97, 956) = 92732
GCD(97, 956) = ( 97 x 956 ) / 92732
GCD(97, 956) = 92732 / 92732
GCD(97, 956) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 573
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 573) = 573
GCD(1, 573) = ( 1 x 573 ) / 573
GCD(1, 573) = 573 / 573
GCD(1, 573) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
GCD(1, 218) = 218 / 218
GCD(1, 218) = 1
GCD of 97, 956, 573, 218 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 97, 956, 573, 218?
GCD of 97, 956, 573, 218 is 1
2. Where do I get the detailed procedure to find GCD of 97, 956, 573, 218?
You can find a detailed procedure to find GCD of 97, 956, 573, 218 on our page.
3. How to find GCD of 97, 956, 573, 218 on a calculator?
You can find the GCD of 97, 956, 573, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.