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 32, 577, 438, 301 i.e. 1 largest integer that divides all the numbers equally.
GCD of 32, 577, 438, 301 is 1
GCD(32, 577, 438, 301) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 577, 438, 301 is 1
GCD(32, 577, 438, 301) = 1
Given Input numbers are 32, 577, 438, 301
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Greatest Common Divisior
We found the divisors of 32, 577, 438, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 577, 438, 301 is 1.
Therefore, GCD of numbers 32, 577, 438, 301 is 1
Given Input Data is 32, 577, 438, 301
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 577 is 577
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 301 is 7 x 43
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(32, 577) = 18464
GCD(32, 577) = ( 32 x 577 ) / 18464
GCD(32, 577) = 18464 / 18464
GCD(32, 577) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 438) = 438
GCD(1, 438) = ( 1 x 438 ) / 438
GCD(1, 438) = 438 / 438
GCD(1, 438) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 301) = 301
GCD(1, 301) = ( 1 x 301 ) / 301
GCD(1, 301) = 301 / 301
GCD(1, 301) = 1
GCD of 32, 577, 438, 301 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 577, 438, 301?
GCD of 32, 577, 438, 301 is 1
2. Where do I get the detailed procedure to find GCD of 32, 577, 438, 301?
You can find a detailed procedure to find GCD of 32, 577, 438, 301 on our page.
3. How to find GCD of 32, 577, 438, 301 on a calculator?
You can find the GCD of 32, 577, 438, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.