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 470, 426, 73 i.e. 1 largest integer that divides all the numbers equally.
GCD of 470, 426, 73 is 1
GCD(470, 426, 73) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 470, 426, 73 is 1
GCD(470, 426, 73) = 1
Given Input numbers are 470, 426, 73
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Greatest Common Divisior
We found the divisors of 470, 426, 73 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 426, 73 is 1.
Therefore, GCD of numbers 470, 426, 73 is 1
Given Input Data is 470, 426, 73
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 73 is 73
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(470, 426) = 100110
GCD(470, 426) = ( 470 x 426 ) / 100110
GCD(470, 426) = 200220 / 100110
GCD(470, 426) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
GCD of 470, 426, 73 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 470, 426, 73?
GCD of 470, 426, 73 is 1
2. Where do I get the detailed procedure to find GCD of 470, 426, 73?
You can find a detailed procedure to find GCD of 470, 426, 73 on our page.
3. How to find GCD of 470, 426, 73 on a calculator?
You can find the GCD of 470, 426, 73 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.