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 471, 459, 352, 336 i.e. 1 largest integer that divides all the numbers equally.
GCD of 471, 459, 352, 336 is 1
GCD(471, 459, 352, 336) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 471, 459, 352, 336 is 1
GCD(471, 459, 352, 336) = 1
Given Input numbers are 471, 459, 352, 336
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 471, 459, 352, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 459, 352, 336 is 1.
Therefore, GCD of numbers 471, 459, 352, 336 is 1
Given Input Data is 471, 459, 352, 336
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 471 is 3 x 157
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
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(471, 459) = 72063
GCD(471, 459) = ( 471 x 459 ) / 72063
GCD(471, 459) = 216189 / 72063
GCD(471, 459) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 352) = 1056
GCD(3, 352) = ( 3 x 352 ) / 1056
GCD(3, 352) = 1056 / 1056
GCD(3, 352) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
GCD(1, 336) = 336 / 336
GCD(1, 336) = 1
GCD of 471, 459, 352, 336 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 471, 459, 352, 336?
GCD of 471, 459, 352, 336 is 1
2. Where do I get the detailed procedure to find GCD of 471, 459, 352, 336?
You can find a detailed procedure to find GCD of 471, 459, 352, 336 on our page.
3. How to find GCD of 471, 459, 352, 336 on a calculator?
You can find the GCD of 471, 459, 352, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.