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 473, 426, 16, 337 i.e. 1 largest integer that divides all the numbers equally.
GCD of 473, 426, 16, 337 is 1
GCD(473, 426, 16, 337) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 473, 426, 16, 337 is 1
GCD(473, 426, 16, 337) = 1
Given Input numbers are 473, 426, 16, 337
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
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 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Greatest Common Divisior
We found the divisors of 473, 426, 16, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 426, 16, 337 is 1.
Therefore, GCD of numbers 473, 426, 16, 337 is 1
Given Input Data is 473, 426, 16, 337
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 473 is 11 x 43
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 337 is 337
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(473, 426) = 201498
GCD(473, 426) = ( 473 x 426 ) / 201498
GCD(473, 426) = 201498 / 201498
GCD(473, 426) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
GCD(1, 16) = 16 / 16
GCD(1, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 337) = 337
GCD(1, 337) = ( 1 x 337 ) / 337
GCD(1, 337) = 337 / 337
GCD(1, 337) = 1
GCD of 473, 426, 16, 337 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 473, 426, 16, 337?
GCD of 473, 426, 16, 337 is 1
2. Where do I get the detailed procedure to find GCD of 473, 426, 16, 337?
You can find a detailed procedure to find GCD of 473, 426, 16, 337 on our page.
3. How to find GCD of 473, 426, 16, 337 on a calculator?
You can find the GCD of 473, 426, 16, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.