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 47, 166, 311, 520 i.e. 1 largest integer that divides all the numbers equally.
GCD of 47, 166, 311, 520 is 1
GCD(47, 166, 311, 520) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 47, 166, 311, 520 is 1
GCD(47, 166, 311, 520) = 1
Given Input numbers are 47, 166, 311, 520
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Greatest Common Divisior
We found the divisors of 47, 166, 311, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 166, 311, 520 is 1.
Therefore, GCD of numbers 47, 166, 311, 520 is 1
Given Input Data is 47, 166, 311, 520
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 47 is 47
Prime Factorization of 166 is 2 x 83
Prime Factorization of 311 is 311
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
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(47, 166) = 7802
GCD(47, 166) = ( 47 x 166 ) / 7802
GCD(47, 166) = 7802 / 7802
GCD(47, 166) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 311
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 311) = 311
GCD(1, 311) = ( 1 x 311 ) / 311
GCD(1, 311) = 311 / 311
GCD(1, 311) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
GCD of 47, 166, 311, 520 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 47, 166, 311, 520?
GCD of 47, 166, 311, 520 is 1
2. Where do I get the detailed procedure to find GCD of 47, 166, 311, 520?
You can find a detailed procedure to find GCD of 47, 166, 311, 520 on our page.
3. How to find GCD of 47, 166, 311, 520 on a calculator?
You can find the GCD of 47, 166, 311, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.