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 635, 824, 659, 399 i.e. 1 largest integer that divides all the numbers equally.
GCD of 635, 824, 659, 399 is 1
GCD(635, 824, 659, 399) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 635, 824, 659, 399 is 1
GCD(635, 824, 659, 399) = 1
Given Input numbers are 635, 824, 659, 399
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
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 635, 824, 659, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 824, 659, 399 is 1.
Therefore, GCD of numbers 635, 824, 659, 399 is 1
Given Input Data is 635, 824, 659, 399
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 635 is 5 x 127
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 659 is 659
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(635, 824) = 523240
GCD(635, 824) = ( 635 x 824 ) / 523240
GCD(635, 824) = 523240 / 523240
GCD(635, 824) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 659
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 659) = 659
GCD(1, 659) = ( 1 x 659 ) / 659
GCD(1, 659) = 659 / 659
GCD(1, 659) = 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 635, 824, 659, 399 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 635, 824, 659, 399?
GCD of 635, 824, 659, 399 is 1
2. Where do I get the detailed procedure to find GCD of 635, 824, 659, 399?
You can find a detailed procedure to find GCD of 635, 824, 659, 399 on our page.
3. How to find GCD of 635, 824, 659, 399 on a calculator?
You can find the GCD of 635, 824, 659, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.