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 810, 694, 652, 971 i.e. 1 largest integer that divides all the numbers equally.
GCD of 810, 694, 652, 971 is 1
GCD(810, 694, 652, 971) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 810, 694, 652, 971 is 1
GCD(810, 694, 652, 971) = 1
Given Input numbers are 810, 694, 652, 971
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Greatest Common Divisior
We found the divisors of 810, 694, 652, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 694, 652, 971 is 1.
Therefore, GCD of numbers 810, 694, 652, 971 is 1
Given Input Data is 810, 694, 652, 971
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 694 is 2 x 347
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 971 is 971
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(810, 694) = 281070
GCD(810, 694) = ( 810 x 694 ) / 281070
GCD(810, 694) = 562140 / 281070
GCD(810, 694) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 652) = 652
GCD(2, 652) = ( 2 x 652 ) / 652
GCD(2, 652) = 1304 / 652
GCD(2, 652) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 971) = 1942
GCD(2, 971) = ( 2 x 971 ) / 1942
GCD(2, 971) = 1942 / 1942
GCD(2, 971) = 1
GCD of 810, 694, 652, 971 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 810, 694, 652, 971?
GCD of 810, 694, 652, 971 is 1
2. Where do I get the detailed procedure to find GCD of 810, 694, 652, 971?
You can find a detailed procedure to find GCD of 810, 694, 652, 971 on our page.
3. How to find GCD of 810, 694, 652, 971 on a calculator?
You can find the GCD of 810, 694, 652, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.