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, 311, 622, 645 i.e. 1 largest integer that divides all the numbers equally.
GCD of 32, 311, 622, 645 is 1
GCD(32, 311, 622, 645) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 311, 622, 645 is 1
GCD(32, 311, 622, 645) = 1
Given Input numbers are 32, 311, 622, 645
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 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Greatest Common Divisior
We found the divisors of 32, 311, 622, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 311, 622, 645 is 1.
Therefore, GCD of numbers 32, 311, 622, 645 is 1
Given Input Data is 32, 311, 622, 645
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 311 is 311
Prime Factorization of 622 is 2 x 311
Prime Factorization of 645 is 3 x 5 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, 311) = 9952
GCD(32, 311) = ( 32 x 311 ) / 9952
GCD(32, 311) = 9952 / 9952
GCD(32, 311) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 622
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 622) = 622
GCD(1, 622) = ( 1 x 622 ) / 622
GCD(1, 622) = 622 / 622
GCD(1, 622) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 645) = 645
GCD(1, 645) = ( 1 x 645 ) / 645
GCD(1, 645) = 645 / 645
GCD(1, 645) = 1
GCD of 32, 311, 622, 645 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 311, 622, 645?
GCD of 32, 311, 622, 645 is 1
2. Where do I get the detailed procedure to find GCD of 32, 311, 622, 645?
You can find a detailed procedure to find GCD of 32, 311, 622, 645 on our page.
3. How to find GCD of 32, 311, 622, 645 on a calculator?
You can find the GCD of 32, 311, 622, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.