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 402, 217, 68, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 402, 217, 68, 385 is 1
GCD(402, 217, 68, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 402, 217, 68, 385 is 1
GCD(402, 217, 68, 385) = 1
Given Input numbers are 402, 217, 68, 385
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 402, 217, 68, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 217, 68, 385 is 1.
Therefore, GCD of numbers 402, 217, 68, 385 is 1
Given Input Data is 402, 217, 68, 385
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 217 is 7 x 31
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 385 is 5 x 7 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(402, 217) = 87234
GCD(402, 217) = ( 402 x 217 ) / 87234
GCD(402, 217) = 87234 / 87234
GCD(402, 217) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
GCD of 402, 217, 68, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 402, 217, 68, 385?
GCD of 402, 217, 68, 385 is 1
2. Where do I get the detailed procedure to find GCD of 402, 217, 68, 385?
You can find a detailed procedure to find GCD of 402, 217, 68, 385 on our page.
3. How to find GCD of 402, 217, 68, 385 on a calculator?
You can find the GCD of 402, 217, 68, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.