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 574, 806, 969, 626 i.e. 1 largest integer that divides all the numbers equally.
GCD of 574, 806, 969, 626 is 1
GCD(574, 806, 969, 626) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 574, 806, 969, 626 is 1
GCD(574, 806, 969, 626) = 1
Given Input numbers are 574, 806, 969, 626
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 806
List of positive integer divisors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Greatest Common Divisior
We found the divisors of 574, 806, 969, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 806, 969, 626 is 1.
Therefore, GCD of numbers 574, 806, 969, 626 is 1
Given Input Data is 574, 806, 969, 626
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 806 is 2 x 13 x 31
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 626 is 2 x 313
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(574, 806) = 231322
GCD(574, 806) = ( 574 x 806 ) / 231322
GCD(574, 806) = 462644 / 231322
GCD(574, 806) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 969) = 1938
GCD(2, 969) = ( 2 x 969 ) / 1938
GCD(2, 969) = 1938 / 1938
GCD(2, 969) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 626
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 626) = 626
GCD(1, 626) = ( 1 x 626 ) / 626
GCD(1, 626) = 626 / 626
GCD(1, 626) = 1
GCD of 574, 806, 969, 626 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 574, 806, 969, 626?
GCD of 574, 806, 969, 626 is 1
2. Where do I get the detailed procedure to find GCD of 574, 806, 969, 626?
You can find a detailed procedure to find GCD of 574, 806, 969, 626 on our page.
3. How to find GCD of 574, 806, 969, 626 on a calculator?
You can find the GCD of 574, 806, 969, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.