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 423, 822, 89, 142 i.e. 1 largest integer that divides all the numbers equally.
GCD of 423, 822, 89, 142 is 1
GCD(423, 822, 89, 142) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 423, 822, 89, 142 is 1
GCD(423, 822, 89, 142) = 1
Given Input numbers are 423, 822, 89, 142
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Greatest Common Divisior
We found the divisors of 423, 822, 89, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 822, 89, 142 is 1.
Therefore, GCD of numbers 423, 822, 89, 142 is 1
Given Input Data is 423, 822, 89, 142
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 89 is 89
Prime Factorization of 142 is 2 x 71
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(423, 822) = 115902
GCD(423, 822) = ( 423 x 822 ) / 115902
GCD(423, 822) = 347706 / 115902
GCD(423, 822) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 89) = 267
GCD(3, 89) = ( 3 x 89 ) / 267
GCD(3, 89) = 267 / 267
GCD(3, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
GCD of 423, 822, 89, 142 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 423, 822, 89, 142?
GCD of 423, 822, 89, 142 is 1
2. Where do I get the detailed procedure to find GCD of 423, 822, 89, 142?
You can find a detailed procedure to find GCD of 423, 822, 89, 142 on our page.
3. How to find GCD of 423, 822, 89, 142 on a calculator?
You can find the GCD of 423, 822, 89, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.