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 738, 656, 937, 392 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 656, 937, 392 is 1
GCD(738, 656, 937, 392) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 656, 937, 392 is 1
GCD(738, 656, 937, 392) = 1
Given Input numbers are 738, 656, 937, 392
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 937
List of positive integer divisors of 937 that divides 937 without a remainder.
1, 937
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Greatest Common Divisior
We found the divisors of 738, 656, 937, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 656, 937, 392 is 1.
Therefore, GCD of numbers 738, 656, 937, 392 is 1
Given Input Data is 738, 656, 937, 392
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 937 is 937
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
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(738, 656) = 5904
GCD(738, 656) = ( 738 x 656 ) / 5904
GCD(738, 656) = 484128 / 5904
GCD(738, 656) = 82
Step2:
Here we consider the GCD from the above i.e. 82 as first number and the next as 937
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(82, 937) = 76834
GCD(82, 937) = ( 82 x 937 ) / 76834
GCD(82, 937) = 76834 / 76834
GCD(82, 937) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
GCD of 738, 656, 937, 392 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 656, 937, 392?
GCD of 738, 656, 937, 392 is 1
2. Where do I get the detailed procedure to find GCD of 738, 656, 937, 392?
You can find a detailed procedure to find GCD of 738, 656, 937, 392 on our page.
3. How to find GCD of 738, 656, 937, 392 on a calculator?
You can find the GCD of 738, 656, 937, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.