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 372, 109, 73, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 372, 109, 73, 357 is 1
GCD(372, 109, 73, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 109, 73, 357 is 1
GCD(372, 109, 73, 357) = 1
Given Input numbers are 372, 109, 73, 357
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 372, 109, 73, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 109, 73, 357 is 1.
Therefore, GCD of numbers 372, 109, 73, 357 is 1
Given Input Data is 372, 109, 73, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 109 is 109
Prime Factorization of 73 is 73
Prime Factorization of 357 is 3 x 7 x 17
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(372, 109) = 40548
GCD(372, 109) = ( 372 x 109 ) / 40548
GCD(372, 109) = 40548 / 40548
GCD(372, 109) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
GCD of 372, 109, 73, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 109, 73, 357?
GCD of 372, 109, 73, 357 is 1
2. Where do I get the detailed procedure to find GCD of 372, 109, 73, 357?
You can find a detailed procedure to find GCD of 372, 109, 73, 357 on our page.
3. How to find GCD of 372, 109, 73, 357 on a calculator?
You can find the GCD of 372, 109, 73, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.