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 772, 442, 693, 666 i.e. 1 largest integer that divides all the numbers equally.
GCD of 772, 442, 693, 666 is 1
GCD(772, 442, 693, 666) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 772, 442, 693, 666 is 1
GCD(772, 442, 693, 666) = 1
Given Input numbers are 772, 442, 693, 666
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Greatest Common Divisior
We found the divisors of 772, 442, 693, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 442, 693, 666 is 1.
Therefore, GCD of numbers 772, 442, 693, 666 is 1
Given Input Data is 772, 442, 693, 666
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 666 is 2 x 3 x 3 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(772, 442) = 170612
GCD(772, 442) = ( 772 x 442 ) / 170612
GCD(772, 442) = 341224 / 170612
GCD(772, 442) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 693
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 693) = 1386
GCD(2, 693) = ( 2 x 693 ) / 1386
GCD(2, 693) = 1386 / 1386
GCD(2, 693) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 666
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 666) = 666
GCD(1, 666) = ( 1 x 666 ) / 666
GCD(1, 666) = 666 / 666
GCD(1, 666) = 1
GCD of 772, 442, 693, 666 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 772, 442, 693, 666?
GCD of 772, 442, 693, 666 is 1
2. Where do I get the detailed procedure to find GCD of 772, 442, 693, 666?
You can find a detailed procedure to find GCD of 772, 442, 693, 666 on our page.
3. How to find GCD of 772, 442, 693, 666 on a calculator?
You can find the GCD of 772, 442, 693, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.