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 369, 971, 427, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 971, 427, 161 is 1
GCD(369, 971, 427, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 971, 427, 161 is 1
GCD(369, 971, 427, 161) = 1
Given Input numbers are 369, 971, 427, 161
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
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 369, 971, 427, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 971, 427, 161 is 1.
Therefore, GCD of numbers 369, 971, 427, 161 is 1
Given Input Data is 369, 971, 427, 161
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 971 is 971
Prime Factorization of 427 is 7 x 61
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(369, 971) = 358299
GCD(369, 971) = ( 369 x 971 ) / 358299
GCD(369, 971) = 358299 / 358299
GCD(369, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
GCD(1, 427) = 427 / 427
GCD(1, 427) = 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 369, 971, 427, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 971, 427, 161?
GCD of 369, 971, 427, 161 is 1
2. Where do I get the detailed procedure to find GCD of 369, 971, 427, 161?
You can find a detailed procedure to find GCD of 369, 971, 427, 161 on our page.
3. How to find GCD of 369, 971, 427, 161 on a calculator?
You can find the GCD of 369, 971, 427, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.