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 937, 106, 30, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 937, 106, 30, 720 is 1
GCD(937, 106, 30, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 937, 106, 30, 720 is 1
GCD(937, 106, 30, 720) = 1
Given Input numbers are 937, 106, 30, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 937
List of positive integer divisors of 937 that divides 937 without a remainder.
1, 937
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Greatest Common Divisior
We found the divisors of 937, 106, 30, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 937, 106, 30, 720 is 1.
Therefore, GCD of numbers 937, 106, 30, 720 is 1
Given Input Data is 937, 106, 30, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 937 is 937
Prime Factorization of 106 is 2 x 53
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
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(937, 106) = 99322
GCD(937, 106) = ( 937 x 106 ) / 99322
GCD(937, 106) = 99322 / 99322
GCD(937, 106) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
GCD of 937, 106, 30, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 937, 106, 30, 720?
GCD of 937, 106, 30, 720 is 1
2. Where do I get the detailed procedure to find GCD of 937, 106, 30, 720?
You can find a detailed procedure to find GCD of 937, 106, 30, 720 on our page.
3. How to find GCD of 937, 106, 30, 720 on a calculator?
You can find the GCD of 937, 106, 30, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.