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 817, 874, 58, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 817, 874, 58, 188 is 1
GCD(817, 874, 58, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 817, 874, 58, 188 is 1
GCD(817, 874, 58, 188) = 1
Given Input numbers are 817, 874, 58, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 817, 874, 58, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 817, 874, 58, 188 is 1.
Therefore, GCD of numbers 817, 874, 58, 188 is 1
Given Input Data is 817, 874, 58, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 817 is 19 x 43
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 58 is 2 x 29
Prime Factorization of 188 is 2 x 2 x 47
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(817, 874) = 37582
GCD(817, 874) = ( 817 x 874 ) / 37582
GCD(817, 874) = 714058 / 37582
GCD(817, 874) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 58) = 1102
GCD(19, 58) = ( 19 x 58 ) / 1102
GCD(19, 58) = 1102 / 1102
GCD(19, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
GCD of 817, 874, 58, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 817, 874, 58, 188?
GCD of 817, 874, 58, 188 is 1
2. Where do I get the detailed procedure to find GCD of 817, 874, 58, 188?
You can find a detailed procedure to find GCD of 817, 874, 58, 188 on our page.
3. How to find GCD of 817, 874, 58, 188 on a calculator?
You can find the GCD of 817, 874, 58, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.