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 870, 809, 928, 693 i.e. 1 largest integer that divides all the numbers equally.
GCD of 870, 809, 928, 693 is 1
GCD(870, 809, 928, 693) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 870, 809, 928, 693 is 1
GCD(870, 809, 928, 693) = 1
Given Input numbers are 870, 809, 928, 693
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
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 870, 809, 928, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 809, 928, 693 is 1.
Therefore, GCD of numbers 870, 809, 928, 693 is 1
Given Input Data is 870, 809, 928, 693
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 809 is 809
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
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(870, 809) = 703830
GCD(870, 809) = ( 870 x 809 ) / 703830
GCD(870, 809) = 703830 / 703830
GCD(870, 809) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 928) = 928
GCD(1, 928) = ( 1 x 928 ) / 928
GCD(1, 928) = 928 / 928
GCD(1, 928) = 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 870, 809, 928, 693 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 870, 809, 928, 693?
GCD of 870, 809, 928, 693 is 1
2. Where do I get the detailed procedure to find GCD of 870, 809, 928, 693?
You can find a detailed procedure to find GCD of 870, 809, 928, 693 on our page.
3. How to find GCD of 870, 809, 928, 693 on a calculator?
You can find the GCD of 870, 809, 928, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.