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, 691, 12, 734 i.e. 1 largest integer that divides all the numbers equally.
GCD of 372, 691, 12, 734 is 1
GCD(372, 691, 12, 734) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 691, 12, 734 is 1
GCD(372, 691, 12, 734) = 1
Given Input numbers are 372, 691, 12, 734
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 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Greatest Common Divisior
We found the divisors of 372, 691, 12, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 691, 12, 734 is 1.
Therefore, GCD of numbers 372, 691, 12, 734 is 1
Given Input Data is 372, 691, 12, 734
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 691 is 691
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 734 is 2 x 367
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, 691) = 257052
GCD(372, 691) = ( 372 x 691 ) / 257052
GCD(372, 691) = 257052 / 257052
GCD(372, 691) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
GCD(1, 734) = 734 / 734
GCD(1, 734) = 1
GCD of 372, 691, 12, 734 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 691, 12, 734?
GCD of 372, 691, 12, 734 is 1
2. Where do I get the detailed procedure to find GCD of 372, 691, 12, 734?
You can find a detailed procedure to find GCD of 372, 691, 12, 734 on our page.
3. How to find GCD of 372, 691, 12, 734 on a calculator?
You can find the GCD of 372, 691, 12, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.