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 197, 261, 37, 460 i.e. 1 largest integer that divides all the numbers equally.
GCD of 197, 261, 37, 460 is 1
GCD(197, 261, 37, 460) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 197, 261, 37, 460 is 1
GCD(197, 261, 37, 460) = 1
Given Input numbers are 197, 261, 37, 460
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Greatest Common Divisior
We found the divisors of 197, 261, 37, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 197, 261, 37, 460 is 1.
Therefore, GCD of numbers 197, 261, 37, 460 is 1
Given Input Data is 197, 261, 37, 460
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 197 is 197
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 37 is 37
Prime Factorization of 460 is 2 x 2 x 5 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(197, 261) = 51417
GCD(197, 261) = ( 197 x 261 ) / 51417
GCD(197, 261) = 51417 / 51417
GCD(197, 261) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 37) = 37
GCD(1, 37) = ( 1 x 37 ) / 37
GCD(1, 37) = 37 / 37
GCD(1, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
GCD(1, 460) = 460 / 460
GCD(1, 460) = 1
GCD of 197, 261, 37, 460 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 197, 261, 37, 460?
GCD of 197, 261, 37, 460 is 1
2. Where do I get the detailed procedure to find GCD of 197, 261, 37, 460?
You can find a detailed procedure to find GCD of 197, 261, 37, 460 on our page.
3. How to find GCD of 197, 261, 37, 460 on a calculator?
You can find the GCD of 197, 261, 37, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.