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 467, 201, 338, 421 i.e. 1 largest integer that divides all the numbers equally.
GCD of 467, 201, 338, 421 is 1
GCD(467, 201, 338, 421) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 467, 201, 338, 421 is 1
GCD(467, 201, 338, 421) = 1
Given Input numbers are 467, 201, 338, 421
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Greatest Common Divisior
We found the divisors of 467, 201, 338, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 467, 201, 338, 421 is 1.
Therefore, GCD of numbers 467, 201, 338, 421 is 1
Given Input Data is 467, 201, 338, 421
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 467 is 467
Prime Factorization of 201 is 3 x 67
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 421 is 421
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(467, 201) = 93867
GCD(467, 201) = ( 467 x 201 ) / 93867
GCD(467, 201) = 93867 / 93867
GCD(467, 201) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
GCD(1, 338) = 338 / 338
GCD(1, 338) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
GCD(1, 421) = 421 / 421
GCD(1, 421) = 1
GCD of 467, 201, 338, 421 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 467, 201, 338, 421?
GCD of 467, 201, 338, 421 is 1
2. Where do I get the detailed procedure to find GCD of 467, 201, 338, 421?
You can find a detailed procedure to find GCD of 467, 201, 338, 421 on our page.
3. How to find GCD of 467, 201, 338, 421 on a calculator?
You can find the GCD of 467, 201, 338, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.