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 37, 363, 495, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 363, 495, 777 is 1
GCD(37, 363, 495, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 363, 495, 777 is 1
GCD(37, 363, 495, 777) = 1
Given Input numbers are 37, 363, 495, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 37, 363, 495, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 363, 495, 777 is 1.
Therefore, GCD of numbers 37, 363, 495, 777 is 1
Given Input Data is 37, 363, 495, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 777 is 3 x 7 x 37
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(37, 363) = 13431
GCD(37, 363) = ( 37 x 363 ) / 13431
GCD(37, 363) = 13431 / 13431
GCD(37, 363) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
GCD of 37, 363, 495, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 363, 495, 777?
GCD of 37, 363, 495, 777 is 1
2. Where do I get the detailed procedure to find GCD of 37, 363, 495, 777?
You can find a detailed procedure to find GCD of 37, 363, 495, 777 on our page.
3. How to find GCD of 37, 363, 495, 777 on a calculator?
You can find the GCD of 37, 363, 495, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.