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 51, 371, 360, 504 i.e. 1 largest integer that divides all the numbers equally.
GCD of 51, 371, 360, 504 is 1
GCD(51, 371, 360, 504) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 51, 371, 360, 504 is 1
GCD(51, 371, 360, 504) = 1
Given Input numbers are 51, 371, 360, 504
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Greatest Common Divisior
We found the divisors of 51, 371, 360, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 371, 360, 504 is 1.
Therefore, GCD of numbers 51, 371, 360, 504 is 1
Given Input Data is 51, 371, 360, 504
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 51 is 3 x 17
Prime Factorization of 371 is 7 x 53
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
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(51, 371) = 18921
GCD(51, 371) = ( 51 x 371 ) / 18921
GCD(51, 371) = 18921 / 18921
GCD(51, 371) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 504
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 504) = 504
GCD(1, 504) = ( 1 x 504 ) / 504
GCD(1, 504) = 504 / 504
GCD(1, 504) = 1
GCD of 51, 371, 360, 504 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 51, 371, 360, 504?
GCD of 51, 371, 360, 504 is 1
2. Where do I get the detailed procedure to find GCD of 51, 371, 360, 504?
You can find a detailed procedure to find GCD of 51, 371, 360, 504 on our page.
3. How to find GCD of 51, 371, 360, 504 on a calculator?
You can find the GCD of 51, 371, 360, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.