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 821, 859, 488, 693 i.e. 1 largest integer that divides all the numbers equally.
GCD of 821, 859, 488, 693 is 1
GCD(821, 859, 488, 693) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 821, 859, 488, 693 is 1
GCD(821, 859, 488, 693) = 1
Given Input numbers are 821, 859, 488, 693
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Greatest Common Divisior
We found the divisors of 821, 859, 488, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 859, 488, 693 is 1.
Therefore, GCD of numbers 821, 859, 488, 693 is 1
Given Input Data is 821, 859, 488, 693
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 821 is 821
Prime Factorization of 859 is 859
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 693 is 3 x 3 x 7 x 11
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(821, 859) = 705239
GCD(821, 859) = ( 821 x 859 ) / 705239
GCD(821, 859) = 705239 / 705239
GCD(821, 859) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 488
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 488) = 488
GCD(1, 488) = ( 1 x 488 ) / 488
GCD(1, 488) = 488 / 488
GCD(1, 488) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 693
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 693) = 693
GCD(1, 693) = ( 1 x 693 ) / 693
GCD(1, 693) = 693 / 693
GCD(1, 693) = 1
GCD of 821, 859, 488, 693 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 821, 859, 488, 693?
GCD of 821, 859, 488, 693 is 1
2. Where do I get the detailed procedure to find GCD of 821, 859, 488, 693?
You can find a detailed procedure to find GCD of 821, 859, 488, 693 on our page.
3. How to find GCD of 821, 859, 488, 693 on a calculator?
You can find the GCD of 821, 859, 488, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.