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, 170, 227, 940 i.e. 1 largest integer that divides all the numbers equally.
GCD of 97, 170, 227, 940 is 1
GCD(97, 170, 227, 940) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 97, 170, 227, 940 is 1
GCD(97, 170, 227, 940) = 1
Given Input numbers are 97, 170, 227, 940
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 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Greatest Common Divisior
We found the divisors of 97, 170, 227, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 170, 227, 940 is 1.
Therefore, GCD of numbers 97, 170, 227, 940 is 1
Given Input Data is 97, 170, 227, 940
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 97 is 97
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 227 is 227
Prime Factorization of 940 is 2 x 2 x 5 x 47
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, 170) = 16490
GCD(97, 170) = ( 97 x 170 ) / 16490
GCD(97, 170) = 16490 / 16490
GCD(97, 170) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 227
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 227) = 227
GCD(1, 227) = ( 1 x 227 ) / 227
GCD(1, 227) = 227 / 227
GCD(1, 227) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
GCD(1, 940) = 940 / 940
GCD(1, 940) = 1
GCD of 97, 170, 227, 940 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 97, 170, 227, 940?
GCD of 97, 170, 227, 940 is 1
2. Where do I get the detailed procedure to find GCD of 97, 170, 227, 940?
You can find a detailed procedure to find GCD of 97, 170, 227, 940 on our page.
3. How to find GCD of 97, 170, 227, 940 on a calculator?
You can find the GCD of 97, 170, 227, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.