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 262, 696, 712, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 262, 696, 712, 797 is 1
GCD(262, 696, 712, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 262, 696, 712, 797 is 1
GCD(262, 696, 712, 797) = 1
Given Input numbers are 262, 696, 712, 797
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
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 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 262, 696, 712, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 696, 712, 797 is 1.
Therefore, GCD of numbers 262, 696, 712, 797 is 1
Given Input Data is 262, 696, 712, 797
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 262 is 2 x 131
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 797 is 797
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(262, 696) = 91176
GCD(262, 696) = ( 262 x 696 ) / 91176
GCD(262, 696) = 182352 / 91176
GCD(262, 696) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 712) = 712
GCD(2, 712) = ( 2 x 712 ) / 712
GCD(2, 712) = 1424 / 712
GCD(2, 712) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 797) = 1594
GCD(2, 797) = ( 2 x 797 ) / 1594
GCD(2, 797) = 1594 / 1594
GCD(2, 797) = 1
GCD of 262, 696, 712, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 262, 696, 712, 797?
GCD of 262, 696, 712, 797 is 1
2. Where do I get the detailed procedure to find GCD of 262, 696, 712, 797?
You can find a detailed procedure to find GCD of 262, 696, 712, 797 on our page.
3. How to find GCD of 262, 696, 712, 797 on a calculator?
You can find the GCD of 262, 696, 712, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.