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, 470, 235, 810 i.e. 5 largest integer that divides all the numbers equally.
GCD of 695, 470, 235, 810 is 5
GCD(695, 470, 235, 810) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 695, 470, 235, 810 is 5
GCD(695, 470, 235, 810) = 5
Given Input numbers are 695, 470, 235, 810
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 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Greatest Common Divisior
We found the divisors of 695, 470, 235, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 470, 235, 810 is 5.
Therefore, GCD of numbers 695, 470, 235, 810 is 5
Given Input Data is 695, 470, 235, 810
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 695 is 5 x 139
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 235 is 5 x 47
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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, 470) = 65330
GCD(695, 470) = ( 695 x 470 ) / 65330
GCD(695, 470) = 326650 / 65330
GCD(695, 470) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 235
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 235) = 235
GCD(5, 235) = ( 5 x 235 ) / 235
GCD(5, 235) = 1175 / 235
GCD(5, 235) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 810) = 810
GCD(5, 810) = ( 5 x 810 ) / 810
GCD(5, 810) = 4050 / 810
GCD(5, 810) = 5
GCD of 695, 470, 235, 810 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 695, 470, 235, 810?
GCD of 695, 470, 235, 810 is 5
2. Where do I get the detailed procedure to find GCD of 695, 470, 235, 810?
You can find a detailed procedure to find GCD of 695, 470, 235, 810 on our page.
3. How to find GCD of 695, 470, 235, 810 on a calculator?
You can find the GCD of 695, 470, 235, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.