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, 135, 404, 801 i.e. 1 largest integer that divides all the numbers equally.
GCD of 47, 135, 404, 801 is 1
GCD(47, 135, 404, 801) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 47, 135, 404, 801 is 1
GCD(47, 135, 404, 801) = 1
Given Input numbers are 47, 135, 404, 801
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 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Greatest Common Divisior
We found the divisors of 47, 135, 404, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 135, 404, 801 is 1.
Therefore, GCD of numbers 47, 135, 404, 801 is 1
Given Input Data is 47, 135, 404, 801
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 47 is 47
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 801 is 3 x 3 x 89
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, 135) = 6345
GCD(47, 135) = ( 47 x 135 ) / 6345
GCD(47, 135) = 6345 / 6345
GCD(47, 135) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 404) = 404
GCD(1, 404) = ( 1 x 404 ) / 404
GCD(1, 404) = 404 / 404
GCD(1, 404) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 801
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 801) = 801
GCD(1, 801) = ( 1 x 801 ) / 801
GCD(1, 801) = 801 / 801
GCD(1, 801) = 1
GCD of 47, 135, 404, 801 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 47, 135, 404, 801?
GCD of 47, 135, 404, 801 is 1
2. Where do I get the detailed procedure to find GCD of 47, 135, 404, 801?
You can find a detailed procedure to find GCD of 47, 135, 404, 801 on our page.
3. How to find GCD of 47, 135, 404, 801 on a calculator?
You can find the GCD of 47, 135, 404, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.