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, 634, 567, 413 i.e. 1 largest integer that divides all the numbers equally.
GCD of 47, 634, 567, 413 is 1
GCD(47, 634, 567, 413) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 47, 634, 567, 413 is 1
GCD(47, 634, 567, 413) = 1
Given Input numbers are 47, 634, 567, 413
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 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Greatest Common Divisior
We found the divisors of 47, 634, 567, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 634, 567, 413 is 1.
Therefore, GCD of numbers 47, 634, 567, 413 is 1
Given Input Data is 47, 634, 567, 413
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 47 is 47
Prime Factorization of 634 is 2 x 317
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 413 is 7 x 59
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, 634) = 29798
GCD(47, 634) = ( 47 x 634 ) / 29798
GCD(47, 634) = 29798 / 29798
GCD(47, 634) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
GCD(1, 567) = 567 / 567
GCD(1, 567) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 413) = 413
GCD(1, 413) = ( 1 x 413 ) / 413
GCD(1, 413) = 413 / 413
GCD(1, 413) = 1
GCD of 47, 634, 567, 413 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 47, 634, 567, 413?
GCD of 47, 634, 567, 413 is 1
2. Where do I get the detailed procedure to find GCD of 47, 634, 567, 413?
You can find a detailed procedure to find GCD of 47, 634, 567, 413 on our page.
3. How to find GCD of 47, 634, 567, 413 on a calculator?
You can find the GCD of 47, 634, 567, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.