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 865, 522, 10, 442 i.e. 1 largest integer that divides all the numbers equally.
GCD of 865, 522, 10, 442 is 1
GCD(865, 522, 10, 442) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 865, 522, 10, 442 is 1
GCD(865, 522, 10, 442) = 1
Given Input numbers are 865, 522, 10, 442
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Greatest Common Divisior
We found the divisors of 865, 522, 10, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 522, 10, 442 is 1.
Therefore, GCD of numbers 865, 522, 10, 442 is 1
Given Input Data is 865, 522, 10, 442
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 865 is 5 x 173
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 10 is 2 x 5
Prime Factorization of 442 is 2 x 13 x 17
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(865, 522) = 451530
GCD(865, 522) = ( 865 x 522 ) / 451530
GCD(865, 522) = 451530 / 451530
GCD(865, 522) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
GCD(1, 442) = 442 / 442
GCD(1, 442) = 1
GCD of 865, 522, 10, 442 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 865, 522, 10, 442?
GCD of 865, 522, 10, 442 is 1
2. Where do I get the detailed procedure to find GCD of 865, 522, 10, 442?
You can find a detailed procedure to find GCD of 865, 522, 10, 442 on our page.
3. How to find GCD of 865, 522, 10, 442 on a calculator?
You can find the GCD of 865, 522, 10, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.