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 106, 497, 39, 368 i.e. 1 largest integer that divides all the numbers equally.
GCD of 106, 497, 39, 368 is 1
GCD(106, 497, 39, 368) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 106, 497, 39, 368 is 1
GCD(106, 497, 39, 368) = 1
Given Input numbers are 106, 497, 39, 368
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Greatest Common Divisior
We found the divisors of 106, 497, 39, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 497, 39, 368 is 1.
Therefore, GCD of numbers 106, 497, 39, 368 is 1
Given Input Data is 106, 497, 39, 368
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 106 is 2 x 53
Prime Factorization of 497 is 7 x 71
Prime Factorization of 39 is 3 x 13
Prime Factorization of 368 is 2 x 2 x 2 x 2 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(106, 497) = 52682
GCD(106, 497) = ( 106 x 497 ) / 52682
GCD(106, 497) = 52682 / 52682
GCD(106, 497) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 368) = 368
GCD(1, 368) = ( 1 x 368 ) / 368
GCD(1, 368) = 368 / 368
GCD(1, 368) = 1
GCD of 106, 497, 39, 368 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 106, 497, 39, 368?
GCD of 106, 497, 39, 368 is 1
2. Where do I get the detailed procedure to find GCD of 106, 497, 39, 368?
You can find a detailed procedure to find GCD of 106, 497, 39, 368 on our page.
3. How to find GCD of 106, 497, 39, 368 on a calculator?
You can find the GCD of 106, 497, 39, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.