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 679, 595, 20, 910 i.e. 1 largest integer that divides all the numbers equally.
GCD of 679, 595, 20, 910 is 1
GCD(679, 595, 20, 910) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 679, 595, 20, 910 is 1
GCD(679, 595, 20, 910) = 1
Given Input numbers are 679, 595, 20, 910
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Greatest Common Divisior
We found the divisors of 679, 595, 20, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 595, 20, 910 is 1.
Therefore, GCD of numbers 679, 595, 20, 910 is 1
Given Input Data is 679, 595, 20, 910
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 679 is 7 x 97
Prime Factorization of 595 is 5 x 7 x 17
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 910 is 2 x 5 x 7 x 13
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(679, 595) = 57715
GCD(679, 595) = ( 679 x 595 ) / 57715
GCD(679, 595) = 404005 / 57715
GCD(679, 595) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 20) = 140
GCD(7, 20) = ( 7 x 20 ) / 140
GCD(7, 20) = 140 / 140
GCD(7, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 910
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 910) = 910
GCD(1, 910) = ( 1 x 910 ) / 910
GCD(1, 910) = 910 / 910
GCD(1, 910) = 1
GCD of 679, 595, 20, 910 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 679, 595, 20, 910?
GCD of 679, 595, 20, 910 is 1
2. Where do I get the detailed procedure to find GCD of 679, 595, 20, 910?
You can find a detailed procedure to find GCD of 679, 595, 20, 910 on our page.
3. How to find GCD of 679, 595, 20, 910 on a calculator?
You can find the GCD of 679, 595, 20, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.