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, 226, 72, 802 i.e. 1 largest integer that divides all the numbers equally.
GCD of 423, 226, 72, 802 is 1
GCD(423, 226, 72, 802) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 423, 226, 72, 802 is 1
GCD(423, 226, 72, 802) = 1
Given Input numbers are 423, 226, 72, 802
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 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Greatest Common Divisior
We found the divisors of 423, 226, 72, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 226, 72, 802 is 1.
Therefore, GCD of numbers 423, 226, 72, 802 is 1
Given Input Data is 423, 226, 72, 802
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 226 is 2 x 113
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 802 is 2 x 401
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, 226) = 95598
GCD(423, 226) = ( 423 x 226 ) / 95598
GCD(423, 226) = 95598 / 95598
GCD(423, 226) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
GCD of 423, 226, 72, 802 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 423, 226, 72, 802?
GCD of 423, 226, 72, 802 is 1
2. Where do I get the detailed procedure to find GCD of 423, 226, 72, 802?
You can find a detailed procedure to find GCD of 423, 226, 72, 802 on our page.
3. How to find GCD of 423, 226, 72, 802 on a calculator?
You can find the GCD of 423, 226, 72, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.