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 401, 545, 288, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 401, 545, 288, 537 is 1
GCD(401, 545, 288, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 401, 545, 288, 537 is 1
GCD(401, 545, 288, 537) = 1
Given Input numbers are 401, 545, 288, 537
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 401, 545, 288, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 545, 288, 537 is 1.
Therefore, GCD of numbers 401, 545, 288, 537 is 1
Given Input Data is 401, 545, 288, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 401 is 401
Prime Factorization of 545 is 5 x 109
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 537 is 3 x 179
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(401, 545) = 218545
GCD(401, 545) = ( 401 x 545 ) / 218545
GCD(401, 545) = 218545 / 218545
GCD(401, 545) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
GCD(1, 288) = 288 / 288
GCD(1, 288) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 537) = 537
GCD(1, 537) = ( 1 x 537 ) / 537
GCD(1, 537) = 537 / 537
GCD(1, 537) = 1
GCD of 401, 545, 288, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 401, 545, 288, 537?
GCD of 401, 545, 288, 537 is 1
2. Where do I get the detailed procedure to find GCD of 401, 545, 288, 537?
You can find a detailed procedure to find GCD of 401, 545, 288, 537 on our page.
3. How to find GCD of 401, 545, 288, 537 on a calculator?
You can find the GCD of 401, 545, 288, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.