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 696, 504, 617, 623 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 504, 617, 623 is 1
GCD(696, 504, 617, 623) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 504, 617, 623 is 1
GCD(696, 504, 617, 623) = 1
Given Input numbers are 696, 504, 617, 623
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Greatest Common Divisior
We found the divisors of 696, 504, 617, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 504, 617, 623 is 1.
Therefore, GCD of numbers 696, 504, 617, 623 is 1
Given Input Data is 696, 504, 617, 623
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 617 is 617
Prime Factorization of 623 is 7 x 89
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(696, 504) = 14616
GCD(696, 504) = ( 696 x 504 ) / 14616
GCD(696, 504) = 350784 / 14616
GCD(696, 504) = 24
Step2:
Here we consider the GCD from the above i.e. 24 as first number and the next as 617
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(24, 617) = 14808
GCD(24, 617) = ( 24 x 617 ) / 14808
GCD(24, 617) = 14808 / 14808
GCD(24, 617) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 623
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 623) = 623
GCD(1, 623) = ( 1 x 623 ) / 623
GCD(1, 623) = 623 / 623
GCD(1, 623) = 1
GCD of 696, 504, 617, 623 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 504, 617, 623?
GCD of 696, 504, 617, 623 is 1
2. Where do I get the detailed procedure to find GCD of 696, 504, 617, 623?
You can find a detailed procedure to find GCD of 696, 504, 617, 623 on our page.
3. How to find GCD of 696, 504, 617, 623 on a calculator?
You can find the GCD of 696, 504, 617, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.