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 399, 456, 601, 681 i.e. 1 largest integer that divides all the numbers equally.
GCD of 399, 456, 601, 681 is 1
GCD(399, 456, 601, 681) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 399, 456, 601, 681 is 1
GCD(399, 456, 601, 681) = 1
Given Input numbers are 399, 456, 601, 681
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Greatest Common Divisior
We found the divisors of 399, 456, 601, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 456, 601, 681 is 1.
Therefore, GCD of numbers 399, 456, 601, 681 is 1
Given Input Data is 399, 456, 601, 681
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 601 is 601
Prime Factorization of 681 is 3 x 227
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(399, 456) = 3192
GCD(399, 456) = ( 399 x 456 ) / 3192
GCD(399, 456) = 181944 / 3192
GCD(399, 456) = 57
Step2:
Here we consider the GCD from the above i.e. 57 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(57, 601) = 34257
GCD(57, 601) = ( 57 x 601 ) / 34257
GCD(57, 601) = 34257 / 34257
GCD(57, 601) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 681
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 681) = 681
GCD(1, 681) = ( 1 x 681 ) / 681
GCD(1, 681) = 681 / 681
GCD(1, 681) = 1
GCD of 399, 456, 601, 681 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 399, 456, 601, 681?
GCD of 399, 456, 601, 681 is 1
2. Where do I get the detailed procedure to find GCD of 399, 456, 601, 681?
You can find a detailed procedure to find GCD of 399, 456, 601, 681 on our page.
3. How to find GCD of 399, 456, 601, 681 on a calculator?
You can find the GCD of 399, 456, 601, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.