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 206, 395, 734, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 206, 395, 734, 720 is 1
GCD(206, 395, 734, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 206, 395, 734, 720 is 1
GCD(206, 395, 734, 720) = 1
Given Input numbers are 206, 395, 734, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
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 206, 395, 734, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 395, 734, 720 is 1.
Therefore, GCD of numbers 206, 395, 734, 720 is 1
Given Input Data is 206, 395, 734, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 206 is 2 x 103
Prime Factorization of 395 is 5 x 79
Prime Factorization of 734 is 2 x 367
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(206, 395) = 81370
GCD(206, 395) = ( 206 x 395 ) / 81370
GCD(206, 395) = 81370 / 81370
GCD(206, 395) = 1
Step2:
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
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 206, 395, 734, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 206, 395, 734, 720?
GCD of 206, 395, 734, 720 is 1
2. Where do I get the detailed procedure to find GCD of 206, 395, 734, 720?
You can find a detailed procedure to find GCD of 206, 395, 734, 720 on our page.
3. How to find GCD of 206, 395, 734, 720 on a calculator?
You can find the GCD of 206, 395, 734, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.