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 84, 352, 604, 469 i.e. 1 largest integer that divides all the numbers equally.
GCD of 84, 352, 604, 469 is 1
GCD(84, 352, 604, 469) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 352, 604, 469 is 1
GCD(84, 352, 604, 469) = 1
Given Input numbers are 84, 352, 604, 469
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
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 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Greatest Common Divisior
We found the divisors of 84, 352, 604, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 352, 604, 469 is 1.
Therefore, GCD of numbers 84, 352, 604, 469 is 1
Given Input Data is 84, 352, 604, 469
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 469 is 7 x 67
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(84, 352) = 7392
GCD(84, 352) = ( 84 x 352 ) / 7392
GCD(84, 352) = 29568 / 7392
GCD(84, 352) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 604) = 604
GCD(4, 604) = ( 4 x 604 ) / 604
GCD(4, 604) = 2416 / 604
GCD(4, 604) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 469) = 1876
GCD(4, 469) = ( 4 x 469 ) / 1876
GCD(4, 469) = 1876 / 1876
GCD(4, 469) = 1
GCD of 84, 352, 604, 469 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 84, 352, 604, 469?
GCD of 84, 352, 604, 469 is 1
2. Where do I get the detailed procedure to find GCD of 84, 352, 604, 469?
You can find a detailed procedure to find GCD of 84, 352, 604, 469 on our page.
3. How to find GCD of 84, 352, 604, 469 on a calculator?
You can find the GCD of 84, 352, 604, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.