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 438, 818, 16, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 438, 818, 16, 753 is 1
GCD(438, 818, 16, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 818, 16, 753 is 1
GCD(438, 818, 16, 753) = 1
Given Input numbers are 438, 818, 16, 753
To find the GCD of numbers using factoring list out all the divisors of each number
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 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 438, 818, 16, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 818, 16, 753 is 1.
Therefore, GCD of numbers 438, 818, 16, 753 is 1
Given Input Data is 438, 818, 16, 753
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 818 is 2 x 409
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 753 is 3 x 251
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(438, 818) = 179142
GCD(438, 818) = ( 438 x 818 ) / 179142
GCD(438, 818) = 358284 / 179142
GCD(438, 818) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 16) = 16
GCD(2, 16) = ( 2 x 16 ) / 16
GCD(2, 16) = 32 / 16
GCD(2, 16) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 753) = 1506
GCD(2, 753) = ( 2 x 753 ) / 1506
GCD(2, 753) = 1506 / 1506
GCD(2, 753) = 1
GCD of 438, 818, 16, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 818, 16, 753?
GCD of 438, 818, 16, 753 is 1
2. Where do I get the detailed procedure to find GCD of 438, 818, 16, 753?
You can find a detailed procedure to find GCD of 438, 818, 16, 753 on our page.
3. How to find GCD of 438, 818, 16, 753 on a calculator?
You can find the GCD of 438, 818, 16, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.