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, 360, 60, 347 i.e. 1 largest integer that divides all the numbers equally.
GCD of 197, 360, 60, 347 is 1
GCD(197, 360, 60, 347) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 197, 360, 60, 347 is 1
GCD(197, 360, 60, 347) = 1
Given Input numbers are 197, 360, 60, 347
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 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
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 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Greatest Common Divisior
We found the divisors of 197, 360, 60, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 197, 360, 60, 347 is 1.
Therefore, GCD of numbers 197, 360, 60, 347 is 1
Given Input Data is 197, 360, 60, 347
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 197 is 197
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 347 is 347
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, 360) = 70920
GCD(197, 360) = ( 197 x 360 ) / 70920
GCD(197, 360) = 70920 / 70920
GCD(197, 360) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 347) = 347
GCD(1, 347) = ( 1 x 347 ) / 347
GCD(1, 347) = 347 / 347
GCD(1, 347) = 1
GCD of 197, 360, 60, 347 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 197, 360, 60, 347?
GCD of 197, 360, 60, 347 is 1
2. Where do I get the detailed procedure to find GCD of 197, 360, 60, 347?
You can find a detailed procedure to find GCD of 197, 360, 60, 347 on our page.
3. How to find GCD of 197, 360, 60, 347 on a calculator?
You can find the GCD of 197, 360, 60, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.