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 212, 597, 49, 391 i.e. 1 largest integer that divides all the numbers equally.
GCD of 212, 597, 49, 391 is 1
GCD(212, 597, 49, 391) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 212, 597, 49, 391 is 1
GCD(212, 597, 49, 391) = 1
Given Input numbers are 212, 597, 49, 391
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Greatest Common Divisior
We found the divisors of 212, 597, 49, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 597, 49, 391 is 1.
Therefore, GCD of numbers 212, 597, 49, 391 is 1
Given Input Data is 212, 597, 49, 391
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 597 is 3 x 199
Prime Factorization of 49 is 7 x 7
Prime Factorization of 391 is 17 x 23
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(212, 597) = 126564
GCD(212, 597) = ( 212 x 597 ) / 126564
GCD(212, 597) = 126564 / 126564
GCD(212, 597) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 391
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
GCD(1, 391) = 391 / 391
GCD(1, 391) = 1
GCD of 212, 597, 49, 391 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 212, 597, 49, 391?
GCD of 212, 597, 49, 391 is 1
2. Where do I get the detailed procedure to find GCD of 212, 597, 49, 391?
You can find a detailed procedure to find GCD of 212, 597, 49, 391 on our page.
3. How to find GCD of 212, 597, 49, 391 on a calculator?
You can find the GCD of 212, 597, 49, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.