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, 513, 67, 873 i.e. 1 largest integer that divides all the numbers equally.
GCD of 870, 513, 67, 873 is 1
GCD(870, 513, 67, 873) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 870, 513, 67, 873 is 1
GCD(870, 513, 67, 873) = 1
Given Input numbers are 870, 513, 67, 873
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 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Greatest Common Divisior
We found the divisors of 870, 513, 67, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 513, 67, 873 is 1.
Therefore, GCD of numbers 870, 513, 67, 873 is 1
Given Input Data is 870, 513, 67, 873
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 513 is 3 x 3 x 3 x 19
Prime Factorization of 67 is 67
Prime Factorization of 873 is 3 x 3 x 97
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, 513) = 148770
GCD(870, 513) = ( 870 x 513 ) / 148770
GCD(870, 513) = 446310 / 148770
GCD(870, 513) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 67) = 201
GCD(3, 67) = ( 3 x 67 ) / 201
GCD(3, 67) = 201 / 201
GCD(3, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 873) = 873
GCD(1, 873) = ( 1 x 873 ) / 873
GCD(1, 873) = 873 / 873
GCD(1, 873) = 1
GCD of 870, 513, 67, 873 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 870, 513, 67, 873?
GCD of 870, 513, 67, 873 is 1
2. Where do I get the detailed procedure to find GCD of 870, 513, 67, 873?
You can find a detailed procedure to find GCD of 870, 513, 67, 873 on our page.
3. How to find GCD of 870, 513, 67, 873 on a calculator?
You can find the GCD of 870, 513, 67, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.