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, 657, 385, 812 i.e. 1 largest integer that divides all the numbers equally.
GCD of 32, 657, 385, 812 is 1
GCD(32, 657, 385, 812) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 657, 385, 812 is 1
GCD(32, 657, 385, 812) = 1
Given Input numbers are 32, 657, 385, 812
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 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Greatest Common Divisior
We found the divisors of 32, 657, 385, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 657, 385, 812 is 1.
Therefore, GCD of numbers 32, 657, 385, 812 is 1
Given Input Data is 32, 657, 385, 812
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 657 is 3 x 3 x 73
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 812 is 2 x 2 x 7 x 29
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, 657) = 21024
GCD(32, 657) = ( 32 x 657 ) / 21024
GCD(32, 657) = 21024 / 21024
GCD(32, 657) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 812) = 812
GCD(1, 812) = ( 1 x 812 ) / 812
GCD(1, 812) = 812 / 812
GCD(1, 812) = 1
GCD of 32, 657, 385, 812 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 657, 385, 812?
GCD of 32, 657, 385, 812 is 1
2. Where do I get the detailed procedure to find GCD of 32, 657, 385, 812?
You can find a detailed procedure to find GCD of 32, 657, 385, 812 on our page.
3. How to find GCD of 32, 657, 385, 812 on a calculator?
You can find the GCD of 32, 657, 385, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.