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 105, 137, 395, 416 i.e. 1 largest integer that divides all the numbers equally.
GCD of 105, 137, 395, 416 is 1
GCD(105, 137, 395, 416) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 105, 137, 395, 416 is 1
GCD(105, 137, 395, 416) = 1
Given Input numbers are 105, 137, 395, 416
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Greatest Common Divisior
We found the divisors of 105, 137, 395, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 137, 395, 416 is 1.
Therefore, GCD of numbers 105, 137, 395, 416 is 1
Given Input Data is 105, 137, 395, 416
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 137 is 137
Prime Factorization of 395 is 5 x 79
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
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(105, 137) = 14385
GCD(105, 137) = ( 105 x 137 ) / 14385
GCD(105, 137) = 14385 / 14385
GCD(105, 137) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 395) = 395
GCD(1, 395) = ( 1 x 395 ) / 395
GCD(1, 395) = 395 / 395
GCD(1, 395) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 416
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 416) = 416
GCD(1, 416) = ( 1 x 416 ) / 416
GCD(1, 416) = 416 / 416
GCD(1, 416) = 1
GCD of 105, 137, 395, 416 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 105, 137, 395, 416?
GCD of 105, 137, 395, 416 is 1
2. Where do I get the detailed procedure to find GCD of 105, 137, 395, 416?
You can find a detailed procedure to find GCD of 105, 137, 395, 416 on our page.
3. How to find GCD of 105, 137, 395, 416 on a calculator?
You can find the GCD of 105, 137, 395, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.