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, 162, 85, 864 i.e. 1 largest integer that divides all the numbers equally.
GCD of 870, 162, 85, 864 is 1
GCD(870, 162, 85, 864) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 870, 162, 85, 864 is 1
GCD(870, 162, 85, 864) = 1
Given Input numbers are 870, 162, 85, 864
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 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Greatest Common Divisior
We found the divisors of 870, 162, 85, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 162, 85, 864 is 1.
Therefore, GCD of numbers 870, 162, 85, 864 is 1
Given Input Data is 870, 162, 85, 864
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 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 85 is 5 x 17
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
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, 162) = 23490
GCD(870, 162) = ( 870 x 162 ) / 23490
GCD(870, 162) = 140940 / 23490
GCD(870, 162) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 85) = 510
GCD(6, 85) = ( 6 x 85 ) / 510
GCD(6, 85) = 510 / 510
GCD(6, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
GCD(1, 864) = 864 / 864
GCD(1, 864) = 1
GCD of 870, 162, 85, 864 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 870, 162, 85, 864?
GCD of 870, 162, 85, 864 is 1
2. Where do I get the detailed procedure to find GCD of 870, 162, 85, 864?
You can find a detailed procedure to find GCD of 870, 162, 85, 864 on our page.
3. How to find GCD of 870, 162, 85, 864 on a calculator?
You can find the GCD of 870, 162, 85, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.