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 539, 322, 466, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 539, 322, 466, 220 is 1
GCD(539, 322, 466, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 539, 322, 466, 220 is 1
GCD(539, 322, 466, 220) = 1
Given Input numbers are 539, 322, 466, 220
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 539, 322, 466, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 539, 322, 466, 220 is 1.
Therefore, GCD of numbers 539, 322, 466, 220 is 1
Given Input Data is 539, 322, 466, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 539 is 7 x 7 x 11
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 466 is 2 x 233
Prime Factorization of 220 is 2 x 2 x 5 x 11
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(539, 322) = 24794
GCD(539, 322) = ( 539 x 322 ) / 24794
GCD(539, 322) = 173558 / 24794
GCD(539, 322) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 466
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 466) = 3262
GCD(7, 466) = ( 7 x 466 ) / 3262
GCD(7, 466) = 3262 / 3262
GCD(7, 466) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
GCD of 539, 322, 466, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 539, 322, 466, 220?
GCD of 539, 322, 466, 220 is 1
2. Where do I get the detailed procedure to find GCD of 539, 322, 466, 220?
You can find a detailed procedure to find GCD of 539, 322, 466, 220 on our page.
3. How to find GCD of 539, 322, 466, 220 on a calculator?
You can find the GCD of 539, 322, 466, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.