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 142, 594, 966, 825 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 594, 966, 825 is 1
GCD(142, 594, 966, 825) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 594, 966, 825 is 1
GCD(142, 594, 966, 825) = 1
Given Input numbers are 142, 594, 966, 825
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Greatest Common Divisior
We found the divisors of 142, 594, 966, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 594, 966, 825 is 1.
Therefore, GCD of numbers 142, 594, 966, 825 is 1
Given Input Data is 142, 594, 966, 825
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 825 is 3 x 5 x 5 x 11
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(142, 594) = 42174
GCD(142, 594) = ( 142 x 594 ) / 42174
GCD(142, 594) = 84348 / 42174
GCD(142, 594) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 966
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 966) = 966
GCD(2, 966) = ( 2 x 966 ) / 966
GCD(2, 966) = 1932 / 966
GCD(2, 966) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 825
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 825) = 1650
GCD(2, 825) = ( 2 x 825 ) / 1650
GCD(2, 825) = 1650 / 1650
GCD(2, 825) = 1
GCD of 142, 594, 966, 825 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 594, 966, 825?
GCD of 142, 594, 966, 825 is 1
2. Where do I get the detailed procedure to find GCD of 142, 594, 966, 825?
You can find a detailed procedure to find GCD of 142, 594, 966, 825 on our page.
3. How to find GCD of 142, 594, 966, 825 on a calculator?
You can find the GCD of 142, 594, 966, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.