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 413, 756, 38, 851 i.e. 1 largest integer that divides all the numbers equally.
GCD of 413, 756, 38, 851 is 1
GCD(413, 756, 38, 851) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 413, 756, 38, 851 is 1
GCD(413, 756, 38, 851) = 1
Given Input numbers are 413, 756, 38, 851
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Greatest Common Divisior
We found the divisors of 413, 756, 38, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 756, 38, 851 is 1.
Therefore, GCD of numbers 413, 756, 38, 851 is 1
Given Input Data is 413, 756, 38, 851
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 413 is 7 x 59
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 38 is 2 x 19
Prime Factorization of 851 is 23 x 37
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(413, 756) = 44604
GCD(413, 756) = ( 413 x 756 ) / 44604
GCD(413, 756) = 312228 / 44604
GCD(413, 756) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 38) = 266
GCD(7, 38) = ( 7 x 38 ) / 266
GCD(7, 38) = 266 / 266
GCD(7, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 851
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 851) = 851
GCD(1, 851) = ( 1 x 851 ) / 851
GCD(1, 851) = 851 / 851
GCD(1, 851) = 1
GCD of 413, 756, 38, 851 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 413, 756, 38, 851?
GCD of 413, 756, 38, 851 is 1
2. Where do I get the detailed procedure to find GCD of 413, 756, 38, 851?
You can find a detailed procedure to find GCD of 413, 756, 38, 851 on our page.
3. How to find GCD of 413, 756, 38, 851 on a calculator?
You can find the GCD of 413, 756, 38, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.