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 544, 772, 22, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 544, 772, 22, 629 is 1
GCD(544, 772, 22, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 544, 772, 22, 629 is 1
GCD(544, 772, 22, 629) = 1
Given Input numbers are 544, 772, 22, 629
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 544
List of positive integer divisors of 544 that divides 544 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 544, 772, 22, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 772, 22, 629 is 1.
Therefore, GCD of numbers 544, 772, 22, 629 is 1
Given Input Data is 544, 772, 22, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 22 is 2 x 11
Prime Factorization of 629 is 17 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(544, 772) = 104992
GCD(544, 772) = ( 544 x 772 ) / 104992
GCD(544, 772) = 419968 / 104992
GCD(544, 772) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 22) = 44
GCD(4, 22) = ( 4 x 22 ) / 44
GCD(4, 22) = 88 / 44
GCD(4, 22) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 629) = 1258
GCD(2, 629) = ( 2 x 629 ) / 1258
GCD(2, 629) = 1258 / 1258
GCD(2, 629) = 1
GCD of 544, 772, 22, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 544, 772, 22, 629?
GCD of 544, 772, 22, 629 is 1
2. Where do I get the detailed procedure to find GCD of 544, 772, 22, 629?
You can find a detailed procedure to find GCD of 544, 772, 22, 629 on our page.
3. How to find GCD of 544, 772, 22, 629 on a calculator?
You can find the GCD of 544, 772, 22, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.