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 559, 877, 29, 420 i.e. 1 largest integer that divides all the numbers equally.
GCD of 559, 877, 29, 420 is 1
GCD(559, 877, 29, 420) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 559, 877, 29, 420 is 1
GCD(559, 877, 29, 420) = 1
Given Input numbers are 559, 877, 29, 420
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Greatest Common Divisior
We found the divisors of 559, 877, 29, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 877, 29, 420 is 1.
Therefore, GCD of numbers 559, 877, 29, 420 is 1
Given Input Data is 559, 877, 29, 420
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 559 is 13 x 43
Prime Factorization of 877 is 877
Prime Factorization of 29 is 29
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
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(559, 877) = 490243
GCD(559, 877) = ( 559 x 877 ) / 490243
GCD(559, 877) = 490243 / 490243
GCD(559, 877) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 29) = 29
GCD(1, 29) = ( 1 x 29 ) / 29
GCD(1, 29) = 29 / 29
GCD(1, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 420
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
GCD(1, 420) = 420 / 420
GCD(1, 420) = 1
GCD of 559, 877, 29, 420 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 559, 877, 29, 420?
GCD of 559, 877, 29, 420 is 1
2. Where do I get the detailed procedure to find GCD of 559, 877, 29, 420?
You can find a detailed procedure to find GCD of 559, 877, 29, 420 on our page.
3. How to find GCD of 559, 877, 29, 420 on a calculator?
You can find the GCD of 559, 877, 29, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.