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, 648, 595, 726 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 648, 595, 726 is 1
GCD(696, 648, 595, 726) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 648, 595, 726 is 1
GCD(696, 648, 595, 726) = 1
Given Input numbers are 696, 648, 595, 726
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 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Greatest Common Divisior
We found the divisors of 696, 648, 595, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 648, 595, 726 is 1.
Therefore, GCD of numbers 696, 648, 595, 726 is 1
Given Input Data is 696, 648, 595, 726
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 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 595 is 5 x 7 x 17
Prime Factorization of 726 is 2 x 3 x 11 x 11
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, 648) = 18792
GCD(696, 648) = ( 696 x 648 ) / 18792
GCD(696, 648) = 451008 / 18792
GCD(696, 648) = 24
Step2:
Here we consider the GCD from the above i.e. 24 as first number and the next as 595
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(24, 595) = 14280
GCD(24, 595) = ( 24 x 595 ) / 14280
GCD(24, 595) = 14280 / 14280
GCD(24, 595) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 726
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 726) = 726
GCD(1, 726) = ( 1 x 726 ) / 726
GCD(1, 726) = 726 / 726
GCD(1, 726) = 1
GCD of 696, 648, 595, 726 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 648, 595, 726?
GCD of 696, 648, 595, 726 is 1
2. Where do I get the detailed procedure to find GCD of 696, 648, 595, 726?
You can find a detailed procedure to find GCD of 696, 648, 595, 726 on our page.
3. How to find GCD of 696, 648, 595, 726 on a calculator?
You can find the GCD of 696, 648, 595, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.