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 30, 938, 597, 212 i.e. 1 largest integer that divides all the numbers equally.
GCD of 30, 938, 597, 212 is 1
GCD(30, 938, 597, 212) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 30, 938, 597, 212 is 1
GCD(30, 938, 597, 212) = 1
Given Input numbers are 30, 938, 597, 212
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
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 30, 938, 597, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 938, 597, 212 is 1.
Therefore, GCD of numbers 30, 938, 597, 212 is 1
Given Input Data is 30, 938, 597, 212
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 597 is 3 x 199
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(30, 938) = 14070
GCD(30, 938) = ( 30 x 938 ) / 14070
GCD(30, 938) = 28140 / 14070
GCD(30, 938) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 597
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 597) = 1194
GCD(2, 597) = ( 2 x 597 ) / 1194
GCD(2, 597) = 1194 / 1194
GCD(2, 597) = 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 30, 938, 597, 212 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 30, 938, 597, 212?
GCD of 30, 938, 597, 212 is 1
2. Where do I get the detailed procedure to find GCD of 30, 938, 597, 212?
You can find a detailed procedure to find GCD of 30, 938, 597, 212 on our page.
3. How to find GCD of 30, 938, 597, 212 on a calculator?
You can find the GCD of 30, 938, 597, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.