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 888, 523, 549, 442 i.e. 1 largest integer that divides all the numbers equally.
GCD of 888, 523, 549, 442 is 1
GCD(888, 523, 549, 442) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 888, 523, 549, 442 is 1
GCD(888, 523, 549, 442) = 1
Given Input numbers are 888, 523, 549, 442
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
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 888, 523, 549, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 888, 523, 549, 442 is 1.
Therefore, GCD of numbers 888, 523, 549, 442 is 1
Given Input Data is 888, 523, 549, 442
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 523 is 523
Prime Factorization of 549 is 3 x 3 x 61
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(888, 523) = 464424
GCD(888, 523) = ( 888 x 523 ) / 464424
GCD(888, 523) = 464424 / 464424
GCD(888, 523) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 549
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 549) = 549
GCD(1, 549) = ( 1 x 549 ) / 549
GCD(1, 549) = 549 / 549
GCD(1, 549) = 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 888, 523, 549, 442 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 888, 523, 549, 442?
GCD of 888, 523, 549, 442 is 1
2. Where do I get the detailed procedure to find GCD of 888, 523, 549, 442?
You can find a detailed procedure to find GCD of 888, 523, 549, 442 on our page.
3. How to find GCD of 888, 523, 549, 442 on a calculator?
You can find the GCD of 888, 523, 549, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.