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 720, 412, 111, 430 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 412, 111, 430 is 1
GCD(720, 412, 111, 430) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 412, 111, 430 is 1
GCD(720, 412, 111, 430) = 1
Given Input numbers are 720, 412, 111, 430
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Greatest Common Divisior
We found the divisors of 720, 412, 111, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 412, 111, 430 is 1.
Therefore, GCD of numbers 720, 412, 111, 430 is 1
Given Input Data is 720, 412, 111, 430
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 111 is 3 x 37
Prime Factorization of 430 is 2 x 5 x 43
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(720, 412) = 74160
GCD(720, 412) = ( 720 x 412 ) / 74160
GCD(720, 412) = 296640 / 74160
GCD(720, 412) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 111) = 444
GCD(4, 111) = ( 4 x 111 ) / 444
GCD(4, 111) = 444 / 444
GCD(4, 111) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 430
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 430) = 430
GCD(1, 430) = ( 1 x 430 ) / 430
GCD(1, 430) = 430 / 430
GCD(1, 430) = 1
GCD of 720, 412, 111, 430 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 412, 111, 430?
GCD of 720, 412, 111, 430 is 1
2. Where do I get the detailed procedure to find GCD of 720, 412, 111, 430?
You can find a detailed procedure to find GCD of 720, 412, 111, 430 on our page.
3. How to find GCD of 720, 412, 111, 430 on a calculator?
You can find the GCD of 720, 412, 111, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.