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 193, 125, 72, 371 i.e. 1 largest integer that divides all the numbers equally.
GCD of 193, 125, 72, 371 is 1
GCD(193, 125, 72, 371) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 193, 125, 72, 371 is 1
GCD(193, 125, 72, 371) = 1
Given Input numbers are 193, 125, 72, 371
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 193
List of positive integer divisors of 193 that divides 193 without a remainder.
1, 193
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Greatest Common Divisior
We found the divisors of 193, 125, 72, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 193, 125, 72, 371 is 1.
Therefore, GCD of numbers 193, 125, 72, 371 is 1
Given Input Data is 193, 125, 72, 371
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 193 is 193
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 371 is 7 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(193, 125) = 24125
GCD(193, 125) = ( 193 x 125 ) / 24125
GCD(193, 125) = 24125 / 24125
GCD(193, 125) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
GCD(1, 371) = 371 / 371
GCD(1, 371) = 1
GCD of 193, 125, 72, 371 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 193, 125, 72, 371?
GCD of 193, 125, 72, 371 is 1
2. Where do I get the detailed procedure to find GCD of 193, 125, 72, 371?
You can find a detailed procedure to find GCD of 193, 125, 72, 371 on our page.
3. How to find GCD of 193, 125, 72, 371 on a calculator?
You can find the GCD of 193, 125, 72, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.