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 697, 539, 284, 871 i.e. 1 largest integer that divides all the numbers equally.
GCD of 697, 539, 284, 871 is 1
GCD(697, 539, 284, 871) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 697, 539, 284, 871 is 1
GCD(697, 539, 284, 871) = 1
Given Input numbers are 697, 539, 284, 871
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Greatest Common Divisior
We found the divisors of 697, 539, 284, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 539, 284, 871 is 1.
Therefore, GCD of numbers 697, 539, 284, 871 is 1
Given Input Data is 697, 539, 284, 871
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 697 is 17 x 41
Prime Factorization of 539 is 7 x 7 x 11
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 871 is 13 x 67
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(697, 539) = 375683
GCD(697, 539) = ( 697 x 539 ) / 375683
GCD(697, 539) = 375683 / 375683
GCD(697, 539) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
GCD(1, 284) = 284 / 284
GCD(1, 284) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 871) = 871
GCD(1, 871) = ( 1 x 871 ) / 871
GCD(1, 871) = 871 / 871
GCD(1, 871) = 1
GCD of 697, 539, 284, 871 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 697, 539, 284, 871?
GCD of 697, 539, 284, 871 is 1
2. Where do I get the detailed procedure to find GCD of 697, 539, 284, 871?
You can find a detailed procedure to find GCD of 697, 539, 284, 871 on our page.
3. How to find GCD of 697, 539, 284, 871 on a calculator?
You can find the GCD of 697, 539, 284, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.