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 87, 869, 894, 210 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 869, 894, 210 is 1
GCD(87, 869, 894, 210) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 869, 894, 210 is 1
GCD(87, 869, 894, 210) = 1
Given Input numbers are 87, 869, 894, 210
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Greatest Common Divisior
We found the divisors of 87, 869, 894, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 869, 894, 210 is 1.
Therefore, GCD of numbers 87, 869, 894, 210 is 1
Given Input Data is 87, 869, 894, 210
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 869 is 11 x 79
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 210 is 2 x 3 x 5 x 7
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(87, 869) = 75603
GCD(87, 869) = ( 87 x 869 ) / 75603
GCD(87, 869) = 75603 / 75603
GCD(87, 869) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 894) = 894
GCD(1, 894) = ( 1 x 894 ) / 894
GCD(1, 894) = 894 / 894
GCD(1, 894) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 210
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 210) = 210
GCD(1, 210) = ( 1 x 210 ) / 210
GCD(1, 210) = 210 / 210
GCD(1, 210) = 1
GCD of 87, 869, 894, 210 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 869, 894, 210?
GCD of 87, 869, 894, 210 is 1
2. Where do I get the detailed procedure to find GCD of 87, 869, 894, 210?
You can find a detailed procedure to find GCD of 87, 869, 894, 210 on our page.
3. How to find GCD of 87, 869, 894, 210 on a calculator?
You can find the GCD of 87, 869, 894, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.