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, 377, 193, 106 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 377, 193, 106 is 1
GCD(60, 377, 193, 106) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 377, 193, 106 is 1
GCD(60, 377, 193, 106) = 1
Given Input numbers are 60, 377, 193, 106
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 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 193
List of positive integer divisors of 193 that divides 193 without a remainder.
1, 193
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Greatest Common Divisior
We found the divisors of 60, 377, 193, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 377, 193, 106 is 1.
Therefore, GCD of numbers 60, 377, 193, 106 is 1
Given Input Data is 60, 377, 193, 106
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 377 is 13 x 29
Prime Factorization of 193 is 193
Prime Factorization of 106 is 2 x 53
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, 377) = 22620
GCD(60, 377) = ( 60 x 377 ) / 22620
GCD(60, 377) = 22620 / 22620
GCD(60, 377) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 193
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 193) = 193
GCD(1, 193) = ( 1 x 193 ) / 193
GCD(1, 193) = 193 / 193
GCD(1, 193) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
GCD of 60, 377, 193, 106 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 377, 193, 106?
GCD of 60, 377, 193, 106 is 1
2. Where do I get the detailed procedure to find GCD of 60, 377, 193, 106?
You can find a detailed procedure to find GCD of 60, 377, 193, 106 on our page.
3. How to find GCD of 60, 377, 193, 106 on a calculator?
You can find the GCD of 60, 377, 193, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.