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 695, 173, 131, 780 i.e. 1 largest integer that divides all the numbers equally.
GCD of 695, 173, 131, 780 is 1
GCD(695, 173, 131, 780) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 695, 173, 131, 780 is 1
GCD(695, 173, 131, 780) = 1
Given Input numbers are 695, 173, 131, 780
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Greatest Common Divisior
We found the divisors of 695, 173, 131, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 173, 131, 780 is 1.
Therefore, GCD of numbers 695, 173, 131, 780 is 1
Given Input Data is 695, 173, 131, 780
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 695 is 5 x 139
Prime Factorization of 173 is 173
Prime Factorization of 131 is 131
Prime Factorization of 780 is 2 x 2 x 3 x 5 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(695, 173) = 120235
GCD(695, 173) = ( 695 x 173 ) / 120235
GCD(695, 173) = 120235 / 120235
GCD(695, 173) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
GCD(1, 131) = 131 / 131
GCD(1, 131) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 780
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
GCD(1, 780) = 780 / 780
GCD(1, 780) = 1
GCD of 695, 173, 131, 780 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 695, 173, 131, 780?
GCD of 695, 173, 131, 780 is 1
2. Where do I get the detailed procedure to find GCD of 695, 173, 131, 780?
You can find a detailed procedure to find GCD of 695, 173, 131, 780 on our page.
3. How to find GCD of 695, 173, 131, 780 on a calculator?
You can find the GCD of 695, 173, 131, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.