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, 107, 21, 679 i.e. 1 largest integer that divides all the numbers equally.
GCD of 505, 107, 21, 679 is 1
GCD(505, 107, 21, 679) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 505, 107, 21, 679 is 1
GCD(505, 107, 21, 679) = 1
Given Input numbers are 505, 107, 21, 679
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 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Greatest Common Divisior
We found the divisors of 505, 107, 21, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 107, 21, 679 is 1.
Therefore, GCD of numbers 505, 107, 21, 679 is 1
Given Input Data is 505, 107, 21, 679
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 505 is 5 x 101
Prime Factorization of 107 is 107
Prime Factorization of 21 is 3 x 7
Prime Factorization of 679 is 7 x 97
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, 107) = 54035
GCD(505, 107) = ( 505 x 107 ) / 54035
GCD(505, 107) = 54035 / 54035
GCD(505, 107) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 679
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 679) = 679
GCD(1, 679) = ( 1 x 679 ) / 679
GCD(1, 679) = 679 / 679
GCD(1, 679) = 1
GCD of 505, 107, 21, 679 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 505, 107, 21, 679?
GCD of 505, 107, 21, 679 is 1
2. Where do I get the detailed procedure to find GCD of 505, 107, 21, 679?
You can find a detailed procedure to find GCD of 505, 107, 21, 679 on our page.
3. How to find GCD of 505, 107, 21, 679 on a calculator?
You can find the GCD of 505, 107, 21, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.