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, 953, 15, 364 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 953, 15, 364 is 1
GCD(720, 953, 15, 364) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 953, 15, 364 is 1
GCD(720, 953, 15, 364) = 1
Given Input numbers are 720, 953, 15, 364
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 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Greatest Common Divisior
We found the divisors of 720, 953, 15, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 953, 15, 364 is 1.
Therefore, GCD of numbers 720, 953, 15, 364 is 1
Given Input Data is 720, 953, 15, 364
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 953 is 953
Prime Factorization of 15 is 3 x 5
Prime Factorization of 364 is 2 x 2 x 7 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, 953) = 686160
GCD(720, 953) = ( 720 x 953 ) / 686160
GCD(720, 953) = 686160 / 686160
GCD(720, 953) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
GCD(1, 364) = 364 / 364
GCD(1, 364) = 1
GCD of 720, 953, 15, 364 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 953, 15, 364?
GCD of 720, 953, 15, 364 is 1
2. Where do I get the detailed procedure to find GCD of 720, 953, 15, 364?
You can find a detailed procedure to find GCD of 720, 953, 15, 364 on our page.
3. How to find GCD of 720, 953, 15, 364 on a calculator?
You can find the GCD of 720, 953, 15, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.