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 505, 425, 29, 979 i.e. 1 largest integer that divides all the numbers equally.
GCD of 505, 425, 29, 979 is 1
GCD(505, 425, 29, 979) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 505, 425, 29, 979 is 1
GCD(505, 425, 29, 979) = 1
Given Input numbers are 505, 425, 29, 979
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Greatest Common Divisior
We found the divisors of 505, 425, 29, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 425, 29, 979 is 1.
Therefore, GCD of numbers 505, 425, 29, 979 is 1
Given Input Data is 505, 425, 29, 979
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 505 is 5 x 101
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 29 is 29
Prime Factorization of 979 is 11 x 89
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(505, 425) = 42925
GCD(505, 425) = ( 505 x 425 ) / 42925
GCD(505, 425) = 214625 / 42925
GCD(505, 425) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 29) = 145
GCD(5, 29) = ( 5 x 29 ) / 145
GCD(5, 29) = 145 / 145
GCD(5, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 979
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 979) = 979
GCD(1, 979) = ( 1 x 979 ) / 979
GCD(1, 979) = 979 / 979
GCD(1, 979) = 1
GCD of 505, 425, 29, 979 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 505, 425, 29, 979?
GCD of 505, 425, 29, 979 is 1
2. Where do I get the detailed procedure to find GCD of 505, 425, 29, 979?
You can find a detailed procedure to find GCD of 505, 425, 29, 979 on our page.
3. How to find GCD of 505, 425, 29, 979 on a calculator?
You can find the GCD of 505, 425, 29, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.