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 629, 666, 22, 762 i.e. 1 largest integer that divides all the numbers equally.
GCD of 629, 666, 22, 762 is 1
GCD(629, 666, 22, 762) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 629, 666, 22, 762 is 1
GCD(629, 666, 22, 762) = 1
Given Input numbers are 629, 666, 22, 762
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
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
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Greatest Common Divisior
We found the divisors of 629, 666, 22, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 666, 22, 762 is 1.
Therefore, GCD of numbers 629, 666, 22, 762 is 1
Given Input Data is 629, 666, 22, 762
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 629 is 17 x 37
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 22 is 2 x 11
Prime Factorization of 762 is 2 x 3 x 127
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(629, 666) = 11322
GCD(629, 666) = ( 629 x 666 ) / 11322
GCD(629, 666) = 418914 / 11322
GCD(629, 666) = 37
Step2:
Here we consider the GCD from the above i.e. 37 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(37, 22) = 814
GCD(37, 22) = ( 37 x 22 ) / 814
GCD(37, 22) = 814 / 814
GCD(37, 22) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 762
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 762) = 762
GCD(1, 762) = ( 1 x 762 ) / 762
GCD(1, 762) = 762 / 762
GCD(1, 762) = 1
GCD of 629, 666, 22, 762 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 629, 666, 22, 762?
GCD of 629, 666, 22, 762 is 1
2. Where do I get the detailed procedure to find GCD of 629, 666, 22, 762?
You can find a detailed procedure to find GCD of 629, 666, 22, 762 on our page.
3. How to find GCD of 629, 666, 22, 762 on a calculator?
You can find the GCD of 629, 666, 22, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.