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 820, 879, 415, 635 i.e. 1 largest integer that divides all the numbers equally.
GCD of 820, 879, 415, 635 is 1
GCD(820, 879, 415, 635) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 820, 879, 415, 635 is 1
GCD(820, 879, 415, 635) = 1
Given Input numbers are 820, 879, 415, 635
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Divisors of 415
List of positive integer divisors of 415 that divides 415 without a remainder.
1, 5, 83, 415
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Greatest Common Divisior
We found the divisors of 820, 879, 415, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 879, 415, 635 is 1.
Therefore, GCD of numbers 820, 879, 415, 635 is 1
Given Input Data is 820, 879, 415, 635
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 879 is 3 x 293
Prime Factorization of 415 is 5 x 83
Prime Factorization of 635 is 5 x 127
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(820, 879) = 720780
GCD(820, 879) = ( 820 x 879 ) / 720780
GCD(820, 879) = 720780 / 720780
GCD(820, 879) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 415
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 415) = 415
GCD(1, 415) = ( 1 x 415 ) / 415
GCD(1, 415) = 415 / 415
GCD(1, 415) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 635) = 635
GCD(1, 635) = ( 1 x 635 ) / 635
GCD(1, 635) = 635 / 635
GCD(1, 635) = 1
GCD of 820, 879, 415, 635 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 820, 879, 415, 635?
GCD of 820, 879, 415, 635 is 1
2. Where do I get the detailed procedure to find GCD of 820, 879, 415, 635?
You can find a detailed procedure to find GCD of 820, 879, 415, 635 on our page.
3. How to find GCD of 820, 879, 415, 635 on a calculator?
You can find the GCD of 820, 879, 415, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.