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 195, 755, 860, 427 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 755, 860, 427 is 1
GCD(195, 755, 860, 427) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 755, 860, 427 is 1
GCD(195, 755, 860, 427) = 1
Given Input numbers are 195, 755, 860, 427
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Greatest Common Divisior
We found the divisors of 195, 755, 860, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 755, 860, 427 is 1.
Therefore, GCD of numbers 195, 755, 860, 427 is 1
Given Input Data is 195, 755, 860, 427
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 755 is 5 x 151
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 427 is 7 x 61
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(195, 755) = 29445
GCD(195, 755) = ( 195 x 755 ) / 29445
GCD(195, 755) = 147225 / 29445
GCD(195, 755) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 860) = 860
GCD(5, 860) = ( 5 x 860 ) / 860
GCD(5, 860) = 4300 / 860
GCD(5, 860) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 427) = 2135
GCD(5, 427) = ( 5 x 427 ) / 2135
GCD(5, 427) = 2135 / 2135
GCD(5, 427) = 1
GCD of 195, 755, 860, 427 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 755, 860, 427?
GCD of 195, 755, 860, 427 is 1
2. Where do I get the detailed procedure to find GCD of 195, 755, 860, 427?
You can find a detailed procedure to find GCD of 195, 755, 860, 427 on our page.
3. How to find GCD of 195, 755, 860, 427 on a calculator?
You can find the GCD of 195, 755, 860, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.