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 71, 201, 468, 467 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 201, 468, 467 is 1
GCD(71, 201, 468, 467) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 201, 468, 467 is 1
GCD(71, 201, 468, 467) = 1
Given Input numbers are 71, 201, 468, 467
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Greatest Common Divisior
We found the divisors of 71, 201, 468, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 201, 468, 467 is 1.
Therefore, GCD of numbers 71, 201, 468, 467 is 1
Given Input Data is 71, 201, 468, 467
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 201 is 3 x 67
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 467 is 467
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(71, 201) = 14271
GCD(71, 201) = ( 71 x 201 ) / 14271
GCD(71, 201) = 14271 / 14271
GCD(71, 201) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 467
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 467) = 467
GCD(1, 467) = ( 1 x 467 ) / 467
GCD(1, 467) = 467 / 467
GCD(1, 467) = 1
GCD of 71, 201, 468, 467 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 201, 468, 467?
GCD of 71, 201, 468, 467 is 1
2. Where do I get the detailed procedure to find GCD of 71, 201, 468, 467?
You can find a detailed procedure to find GCD of 71, 201, 468, 467 on our page.
3. How to find GCD of 71, 201, 468, 467 on a calculator?
You can find the GCD of 71, 201, 468, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.