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, 216, 53, 414 i.e. 1 largest integer that divides all the numbers equally.
GCD of 473, 216, 53, 414 is 1
GCD(473, 216, 53, 414) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 473, 216, 53, 414 is 1
GCD(473, 216, 53, 414) = 1
Given Input numbers are 473, 216, 53, 414
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 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Greatest Common Divisior
We found the divisors of 473, 216, 53, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 216, 53, 414 is 1.
Therefore, GCD of numbers 473, 216, 53, 414 is 1
Given Input Data is 473, 216, 53, 414
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 473 is 11 x 43
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 53 is 53
Prime Factorization of 414 is 2 x 3 x 3 x 23
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, 216) = 102168
GCD(473, 216) = ( 473 x 216 ) / 102168
GCD(473, 216) = 102168 / 102168
GCD(473, 216) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 53) = 53
GCD(1, 53) = ( 1 x 53 ) / 53
GCD(1, 53) = 53 / 53
GCD(1, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 414
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
GCD(1, 414) = 414 / 414
GCD(1, 414) = 1
GCD of 473, 216, 53, 414 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 473, 216, 53, 414?
GCD of 473, 216, 53, 414 is 1
2. Where do I get the detailed procedure to find GCD of 473, 216, 53, 414?
You can find a detailed procedure to find GCD of 473, 216, 53, 414 on our page.
3. How to find GCD of 473, 216, 53, 414 on a calculator?
You can find the GCD of 473, 216, 53, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.