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 773, 446, 12, 972 i.e. 1 largest integer that divides all the numbers equally.
GCD of 773, 446, 12, 972 is 1
GCD(773, 446, 12, 972) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 773, 446, 12, 972 is 1
GCD(773, 446, 12, 972) = 1
Given Input numbers are 773, 446, 12, 972
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Greatest Common Divisior
We found the divisors of 773, 446, 12, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 773, 446, 12, 972 is 1.
Therefore, GCD of numbers 773, 446, 12, 972 is 1
Given Input Data is 773, 446, 12, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 773 is 773
Prime Factorization of 446 is 2 x 223
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
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(773, 446) = 344758
GCD(773, 446) = ( 773 x 446 ) / 344758
GCD(773, 446) = 344758 / 344758
GCD(773, 446) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
GCD of 773, 446, 12, 972 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 773, 446, 12, 972?
GCD of 773, 446, 12, 972 is 1
2. Where do I get the detailed procedure to find GCD of 773, 446, 12, 972?
You can find a detailed procedure to find GCD of 773, 446, 12, 972 on our page.
3. How to find GCD of 773, 446, 12, 972 on a calculator?
You can find the GCD of 773, 446, 12, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.