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 874, 728, 817, 692 i.e. 1 largest integer that divides all the numbers equally.
GCD of 874, 728, 817, 692 is 1
GCD(874, 728, 817, 692) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 728, 817, 692 is 1
GCD(874, 728, 817, 692) = 1
Given Input numbers are 874, 728, 817, 692
To find the GCD of numbers using factoring list out all the divisors of each number
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 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Greatest Common Divisior
We found the divisors of 874, 728, 817, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 728, 817, 692 is 1.
Therefore, GCD of numbers 874, 728, 817, 692 is 1
Given Input Data is 874, 728, 817, 692
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 817 is 19 x 43
Prime Factorization of 692 is 2 x 2 x 173
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(874, 728) = 318136
GCD(874, 728) = ( 874 x 728 ) / 318136
GCD(874, 728) = 636272 / 318136
GCD(874, 728) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 817
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 817) = 1634
GCD(2, 817) = ( 2 x 817 ) / 1634
GCD(2, 817) = 1634 / 1634
GCD(2, 817) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
GCD(1, 692) = 692 / 692
GCD(1, 692) = 1
GCD of 874, 728, 817, 692 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 728, 817, 692?
GCD of 874, 728, 817, 692 is 1
2. Where do I get the detailed procedure to find GCD of 874, 728, 817, 692?
You can find a detailed procedure to find GCD of 874, 728, 817, 692 on our page.
3. How to find GCD of 874, 728, 817, 692 on a calculator?
You can find the GCD of 874, 728, 817, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.