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 73, 507, 814, 912 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 507, 814, 912 is 1
GCD(73, 507, 814, 912) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 507, 814, 912 is 1
GCD(73, 507, 814, 912) = 1
Given Input numbers are 73, 507, 814, 912
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Greatest Common Divisior
We found the divisors of 73, 507, 814, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 507, 814, 912 is 1.
Therefore, GCD of numbers 73, 507, 814, 912 is 1
Given Input Data is 73, 507, 814, 912
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
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(73, 507) = 37011
GCD(73, 507) = ( 73 x 507 ) / 37011
GCD(73, 507) = 37011 / 37011
GCD(73, 507) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 814
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
GCD(1, 814) = 814 / 814
GCD(1, 814) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
GCD(1, 912) = 912 / 912
GCD(1, 912) = 1
GCD of 73, 507, 814, 912 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 507, 814, 912?
GCD of 73, 507, 814, 912 is 1
2. Where do I get the detailed procedure to find GCD of 73, 507, 814, 912?
You can find a detailed procedure to find GCD of 73, 507, 814, 912 on our page.
3. How to find GCD of 73, 507, 814, 912 on a calculator?
You can find the GCD of 73, 507, 814, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.