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 366, 720, 56, 507 i.e. 1 largest integer that divides all the numbers equally.
GCD of 366, 720, 56, 507 is 1
GCD(366, 720, 56, 507) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 366, 720, 56, 507 is 1
GCD(366, 720, 56, 507) = 1
Given Input numbers are 366, 720, 56, 507
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
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 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Greatest Common Divisior
We found the divisors of 366, 720, 56, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 720, 56, 507 is 1.
Therefore, GCD of numbers 366, 720, 56, 507 is 1
Given Input Data is 366, 720, 56, 507
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 507 is 3 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(366, 720) = 43920
GCD(366, 720) = ( 366 x 720 ) / 43920
GCD(366, 720) = 263520 / 43920
GCD(366, 720) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 56) = 168
GCD(6, 56) = ( 6 x 56 ) / 168
GCD(6, 56) = 336 / 168
GCD(6, 56) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 507) = 1014
GCD(2, 507) = ( 2 x 507 ) / 1014
GCD(2, 507) = 1014 / 1014
GCD(2, 507) = 1
GCD of 366, 720, 56, 507 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 366, 720, 56, 507?
GCD of 366, 720, 56, 507 is 1
2. Where do I get the detailed procedure to find GCD of 366, 720, 56, 507?
You can find a detailed procedure to find GCD of 366, 720, 56, 507 on our page.
3. How to find GCD of 366, 720, 56, 507 on a calculator?
You can find the GCD of 366, 720, 56, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.