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 38, 484, 759, 212 i.e. 1 largest integer that divides all the numbers equally.
GCD of 38, 484, 759, 212 is 1
GCD(38, 484, 759, 212) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 38, 484, 759, 212 is 1
GCD(38, 484, 759, 212) = 1
Given Input numbers are 38, 484, 759, 212
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Greatest Common Divisior
We found the divisors of 38, 484, 759, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 484, 759, 212 is 1.
Therefore, GCD of numbers 38, 484, 759, 212 is 1
Given Input Data is 38, 484, 759, 212
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 38 is 2 x 19
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 212 is 2 x 2 x 53
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(38, 484) = 9196
GCD(38, 484) = ( 38 x 484 ) / 9196
GCD(38, 484) = 18392 / 9196
GCD(38, 484) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 759
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 759) = 1518
GCD(2, 759) = ( 2 x 759 ) / 1518
GCD(2, 759) = 1518 / 1518
GCD(2, 759) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
GCD(1, 212) = 212 / 212
GCD(1, 212) = 1
GCD of 38, 484, 759, 212 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 38, 484, 759, 212?
GCD of 38, 484, 759, 212 is 1
2. Where do I get the detailed procedure to find GCD of 38, 484, 759, 212?
You can find a detailed procedure to find GCD of 38, 484, 759, 212 on our page.
3. How to find GCD of 38, 484, 759, 212 on a calculator?
You can find the GCD of 38, 484, 759, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.