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 82, 717, 182, 402 i.e. 1 largest integer that divides all the numbers equally.
GCD of 82, 717, 182, 402 is 1
GCD(82, 717, 182, 402) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 717, 182, 402 is 1
GCD(82, 717, 182, 402) = 1
Given Input numbers are 82, 717, 182, 402
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Greatest Common Divisior
We found the divisors of 82, 717, 182, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 717, 182, 402 is 1.
Therefore, GCD of numbers 82, 717, 182, 402 is 1
Given Input Data is 82, 717, 182, 402
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 717 is 3 x 239
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 402 is 2 x 3 x 67
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(82, 717) = 58794
GCD(82, 717) = ( 82 x 717 ) / 58794
GCD(82, 717) = 58794 / 58794
GCD(82, 717) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 182) = 182
GCD(1, 182) = ( 1 x 182 ) / 182
GCD(1, 182) = 182 / 182
GCD(1, 182) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 1
GCD of 82, 717, 182, 402 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 717, 182, 402?
GCD of 82, 717, 182, 402 is 1
2. Where do I get the detailed procedure to find GCD of 82, 717, 182, 402?
You can find a detailed procedure to find GCD of 82, 717, 182, 402 on our page.
3. How to find GCD of 82, 717, 182, 402 on a calculator?
You can find the GCD of 82, 717, 182, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.