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 442, 697, 618, 399 i.e. 1 largest integer that divides all the numbers equally.
GCD of 442, 697, 618, 399 is 1
GCD(442, 697, 618, 399) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 442, 697, 618, 399 is 1
GCD(442, 697, 618, 399) = 1
Given Input numbers are 442, 697, 618, 399
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Greatest Common Divisior
We found the divisors of 442, 697, 618, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 697, 618, 399 is 1.
Therefore, GCD of numbers 442, 697, 618, 399 is 1
Given Input Data is 442, 697, 618, 399
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 697 is 17 x 41
Prime Factorization of 618 is 2 x 3 x 103
Prime Factorization of 399 is 3 x 7 x 19
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(442, 697) = 18122
GCD(442, 697) = ( 442 x 697 ) / 18122
GCD(442, 697) = 308074 / 18122
GCD(442, 697) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 618
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 618) = 10506
GCD(17, 618) = ( 17 x 618 ) / 10506
GCD(17, 618) = 10506 / 10506
GCD(17, 618) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 399) = 399
GCD(1, 399) = ( 1 x 399 ) / 399
GCD(1, 399) = 399 / 399
GCD(1, 399) = 1
GCD of 442, 697, 618, 399 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 442, 697, 618, 399?
GCD of 442, 697, 618, 399 is 1
2. Where do I get the detailed procedure to find GCD of 442, 697, 618, 399?
You can find a detailed procedure to find GCD of 442, 697, 618, 399 on our page.
3. How to find GCD of 442, 697, 618, 399 on a calculator?
You can find the GCD of 442, 697, 618, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.