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, 892, 17, 535 i.e. 1 largest integer that divides all the numbers equally.
GCD of 836, 892, 17, 535 is 1
GCD(836, 892, 17, 535) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 836, 892, 17, 535 is 1
GCD(836, 892, 17, 535) = 1
Given Input numbers are 836, 892, 17, 535
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 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Greatest Common Divisior
We found the divisors of 836, 892, 17, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 892, 17, 535 is 1.
Therefore, GCD of numbers 836, 892, 17, 535 is 1
Given Input Data is 836, 892, 17, 535
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 892 is 2 x 2 x 223
Prime Factorization of 17 is 17
Prime Factorization of 535 is 5 x 107
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, 892) = 186428
GCD(836, 892) = ( 836 x 892 ) / 186428
GCD(836, 892) = 745712 / 186428
GCD(836, 892) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 17) = 68
GCD(4, 17) = ( 4 x 17 ) / 68
GCD(4, 17) = 68 / 68
GCD(4, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 535
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 535) = 535
GCD(1, 535) = ( 1 x 535 ) / 535
GCD(1, 535) = 535 / 535
GCD(1, 535) = 1
GCD of 836, 892, 17, 535 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 836, 892, 17, 535?
GCD of 836, 892, 17, 535 is 1
2. Where do I get the detailed procedure to find GCD of 836, 892, 17, 535?
You can find a detailed procedure to find GCD of 836, 892, 17, 535 on our page.
3. How to find GCD of 836, 892, 17, 535 on a calculator?
You can find the GCD of 836, 892, 17, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.