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 836, 995, 51, 509 i.e. 1 largest integer that divides all the numbers equally.
GCD of 836, 995, 51, 509 is 1
GCD(836, 995, 51, 509) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 836, 995, 51, 509 is 1
GCD(836, 995, 51, 509) = 1
Given Input numbers are 836, 995, 51, 509
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Greatest Common Divisior
We found the divisors of 836, 995, 51, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 995, 51, 509 is 1.
Therefore, GCD of numbers 836, 995, 51, 509 is 1
Given Input Data is 836, 995, 51, 509
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 995 is 5 x 199
Prime Factorization of 51 is 3 x 17
Prime Factorization of 509 is 509
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(836, 995) = 831820
GCD(836, 995) = ( 836 x 995 ) / 831820
GCD(836, 995) = 831820 / 831820
GCD(836, 995) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
GCD(1, 509) = 509 / 509
GCD(1, 509) = 1
GCD of 836, 995, 51, 509 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 836, 995, 51, 509?
GCD of 836, 995, 51, 509 is 1
2. Where do I get the detailed procedure to find GCD of 836, 995, 51, 509?
You can find a detailed procedure to find GCD of 836, 995, 51, 509 on our page.
3. How to find GCD of 836, 995, 51, 509 on a calculator?
You can find the GCD of 836, 995, 51, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.