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, 166, 360, 485 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 166, 360, 485 is 1
GCD(87, 166, 360, 485) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 166, 360, 485 is 1
GCD(87, 166, 360, 485) = 1
Given Input numbers are 87, 166, 360, 485
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 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 485
List of positive integer divisors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Greatest Common Divisior
We found the divisors of 87, 166, 360, 485 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 166, 360, 485 is 1.
Therefore, GCD of numbers 87, 166, 360, 485 is 1
Given Input Data is 87, 166, 360, 485
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 166 is 2 x 83
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 485 is 5 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(87, 166) = 14442
GCD(87, 166) = ( 87 x 166 ) / 14442
GCD(87, 166) = 14442 / 14442
GCD(87, 166) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 485
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 485) = 485
GCD(1, 485) = ( 1 x 485 ) / 485
GCD(1, 485) = 485 / 485
GCD(1, 485) = 1
GCD of 87, 166, 360, 485 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 166, 360, 485?
GCD of 87, 166, 360, 485 is 1
2. Where do I get the detailed procedure to find GCD of 87, 166, 360, 485?
You can find a detailed procedure to find GCD of 87, 166, 360, 485 on our page.
3. How to find GCD of 87, 166, 360, 485 on a calculator?
You can find the GCD of 87, 166, 360, 485 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.