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 436, 212, 290, 382 i.e. 2 largest integer that divides all the numbers equally.
GCD of 436, 212, 290, 382 is 2
GCD(436, 212, 290, 382) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 436, 212, 290, 382 is 2
GCD(436, 212, 290, 382) = 2
Given Input numbers are 436, 212, 290, 382
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Greatest Common Divisior
We found the divisors of 436, 212, 290, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 212, 290, 382 is 2.
Therefore, GCD of numbers 436, 212, 290, 382 is 2
Given Input Data is 436, 212, 290, 382
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 382 is 2 x 191
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(436, 212) = 23108
GCD(436, 212) = ( 436 x 212 ) / 23108
GCD(436, 212) = 92432 / 23108
GCD(436, 212) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 290) = 580
GCD(4, 290) = ( 4 x 290 ) / 580
GCD(4, 290) = 1160 / 580
GCD(4, 290) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 382) = 382
GCD(2, 382) = ( 2 x 382 ) / 382
GCD(2, 382) = 764 / 382
GCD(2, 382) = 2
GCD of 436, 212, 290, 382 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 436, 212, 290, 382?
GCD of 436, 212, 290, 382 is 2
2. Where do I get the detailed procedure to find GCD of 436, 212, 290, 382?
You can find a detailed procedure to find GCD of 436, 212, 290, 382 on our page.
3. How to find GCD of 436, 212, 290, 382 on a calculator?
You can find the GCD of 436, 212, 290, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.