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, 213, 383, 647 i.e. 1 largest integer that divides all the numbers equally.
GCD of 438, 213, 383, 647 is 1
GCD(438, 213, 383, 647) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 213, 383, 647 is 1
GCD(438, 213, 383, 647) = 1
Given Input numbers are 438, 213, 383, 647
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 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Greatest Common Divisior
We found the divisors of 438, 213, 383, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 213, 383, 647 is 1.
Therefore, GCD of numbers 438, 213, 383, 647 is 1
Given Input Data is 438, 213, 383, 647
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 213 is 3 x 71
Prime Factorization of 383 is 383
Prime Factorization of 647 is 647
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, 213) = 31098
GCD(438, 213) = ( 438 x 213 ) / 31098
GCD(438, 213) = 93294 / 31098
GCD(438, 213) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 383) = 1149
GCD(3, 383) = ( 3 x 383 ) / 1149
GCD(3, 383) = 1149 / 1149
GCD(3, 383) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 647
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 647) = 647
GCD(1, 647) = ( 1 x 647 ) / 647
GCD(1, 647) = 647 / 647
GCD(1, 647) = 1
GCD of 438, 213, 383, 647 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 213, 383, 647?
GCD of 438, 213, 383, 647 is 1
2. Where do I get the detailed procedure to find GCD of 438, 213, 383, 647?
You can find a detailed procedure to find GCD of 438, 213, 383, 647 on our page.
3. How to find GCD of 438, 213, 383, 647 on a calculator?
You can find the GCD of 438, 213, 383, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.