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, 362, 797, 272 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 362, 797, 272 is 1
GCD(720, 362, 797, 272) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 362, 797, 272 is 1
GCD(720, 362, 797, 272) = 1
Given Input numbers are 720, 362, 797, 272
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 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Greatest Common Divisior
We found the divisors of 720, 362, 797, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 362, 797, 272 is 1.
Therefore, GCD of numbers 720, 362, 797, 272 is 1
Given Input Data is 720, 362, 797, 272
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 362 is 2 x 181
Prime Factorization of 797 is 797
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
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, 362) = 130320
GCD(720, 362) = ( 720 x 362 ) / 130320
GCD(720, 362) = 260640 / 130320
GCD(720, 362) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 797) = 1594
GCD(2, 797) = ( 2 x 797 ) / 1594
GCD(2, 797) = 1594 / 1594
GCD(2, 797) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
GCD(1, 272) = 272 / 272
GCD(1, 272) = 1
GCD of 720, 362, 797, 272 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 362, 797, 272?
GCD of 720, 362, 797, 272 is 1
2. Where do I get the detailed procedure to find GCD of 720, 362, 797, 272?
You can find a detailed procedure to find GCD of 720, 362, 797, 272 on our page.
3. How to find GCD of 720, 362, 797, 272 on a calculator?
You can find the GCD of 720, 362, 797, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.