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, 597, 21, 338 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 597, 21, 338 is 1
GCD(720, 597, 21, 338) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 597, 21, 338 is 1
GCD(720, 597, 21, 338) = 1
Given Input numbers are 720, 597, 21, 338
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 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Greatest Common Divisior
We found the divisors of 720, 597, 21, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 597, 21, 338 is 1.
Therefore, GCD of numbers 720, 597, 21, 338 is 1
Given Input Data is 720, 597, 21, 338
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 597 is 3 x 199
Prime Factorization of 21 is 3 x 7
Prime Factorization of 338 is 2 x 13 x 13
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, 597) = 143280
GCD(720, 597) = ( 720 x 597 ) / 143280
GCD(720, 597) = 429840 / 143280
GCD(720, 597) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 21) = 21
GCD(3, 21) = ( 3 x 21 ) / 21
GCD(3, 21) = 63 / 21
GCD(3, 21) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 338) = 1014
GCD(3, 338) = ( 3 x 338 ) / 1014
GCD(3, 338) = 1014 / 1014
GCD(3, 338) = 1
GCD of 720, 597, 21, 338 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 597, 21, 338?
GCD of 720, 597, 21, 338 is 1
2. Where do I get the detailed procedure to find GCD of 720, 597, 21, 338?
You can find a detailed procedure to find GCD of 720, 597, 21, 338 on our page.
3. How to find GCD of 720, 597, 21, 338 on a calculator?
You can find the GCD of 720, 597, 21, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.