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 60, 897, 998, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 897, 998, 161 is 1
GCD(60, 897, 998, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 897, 998, 161 is 1
GCD(60, 897, 998, 161) = 1
Given Input numbers are 60, 897, 998, 161
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Greatest Common Divisior
We found the divisors of 60, 897, 998, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 897, 998, 161 is 1.
Therefore, GCD of numbers 60, 897, 998, 161 is 1
Given Input Data is 60, 897, 998, 161
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 998 is 2 x 499
Prime Factorization of 161 is 7 x 23
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(60, 897) = 17940
GCD(60, 897) = ( 60 x 897 ) / 17940
GCD(60, 897) = 53820 / 17940
GCD(60, 897) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 998) = 2994
GCD(3, 998) = ( 3 x 998 ) / 2994
GCD(3, 998) = 2994 / 2994
GCD(3, 998) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 161) = 161
GCD(1, 161) = ( 1 x 161 ) / 161
GCD(1, 161) = 161 / 161
GCD(1, 161) = 1
GCD of 60, 897, 998, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 897, 998, 161?
GCD of 60, 897, 998, 161 is 1
2. Where do I get the detailed procedure to find GCD of 60, 897, 998, 161?
You can find a detailed procedure to find GCD of 60, 897, 998, 161 on our page.
3. How to find GCD of 60, 897, 998, 161 on a calculator?
You can find the GCD of 60, 897, 998, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.