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 182, 871, 87, 567 i.e. 1 largest integer that divides all the numbers equally.
GCD of 182, 871, 87, 567 is 1
GCD(182, 871, 87, 567) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 182, 871, 87, 567 is 1
GCD(182, 871, 87, 567) = 1
Given Input numbers are 182, 871, 87, 567
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Greatest Common Divisior
We found the divisors of 182, 871, 87, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 871, 87, 567 is 1.
Therefore, GCD of numbers 182, 871, 87, 567 is 1
Given Input Data is 182, 871, 87, 567
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 871 is 13 x 67
Prime Factorization of 87 is 3 x 29
Prime Factorization of 567 is 3 x 3 x 3 x 3 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(182, 871) = 12194
GCD(182, 871) = ( 182 x 871 ) / 12194
GCD(182, 871) = 158522 / 12194
GCD(182, 871) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 87) = 1131
GCD(13, 87) = ( 13 x 87 ) / 1131
GCD(13, 87) = 1131 / 1131
GCD(13, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
GCD(1, 567) = 567 / 567
GCD(1, 567) = 1
GCD of 182, 871, 87, 567 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 182, 871, 87, 567?
GCD of 182, 871, 87, 567 is 1
2. Where do I get the detailed procedure to find GCD of 182, 871, 87, 567?
You can find a detailed procedure to find GCD of 182, 871, 87, 567 on our page.
3. How to find GCD of 182, 871, 87, 567 on a calculator?
You can find the GCD of 182, 871, 87, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.