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 638, 332, 321, 800 i.e. 1 largest integer that divides all the numbers equally.
GCD of 638, 332, 321, 800 is 1
GCD(638, 332, 321, 800) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 638, 332, 321, 800 is 1
GCD(638, 332, 321, 800) = 1
Given Input numbers are 638, 332, 321, 800
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Greatest Common Divisior
We found the divisors of 638, 332, 321, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 332, 321, 800 is 1.
Therefore, GCD of numbers 638, 332, 321, 800 is 1
Given Input Data is 638, 332, 321, 800
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 638 is 2 x 11 x 29
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 321 is 3 x 107
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
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(638, 332) = 105908
GCD(638, 332) = ( 638 x 332 ) / 105908
GCD(638, 332) = 211816 / 105908
GCD(638, 332) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 321) = 642
GCD(2, 321) = ( 2 x 321 ) / 642
GCD(2, 321) = 642 / 642
GCD(2, 321) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 1
GCD of 638, 332, 321, 800 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 638, 332, 321, 800?
GCD of 638, 332, 321, 800 is 1
2. Where do I get the detailed procedure to find GCD of 638, 332, 321, 800?
You can find a detailed procedure to find GCD of 638, 332, 321, 800 on our page.
3. How to find GCD of 638, 332, 321, 800 on a calculator?
You can find the GCD of 638, 332, 321, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.