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 484, 466, 87, 989 i.e. 1 largest integer that divides all the numbers equally.
GCD of 484, 466, 87, 989 is 1
GCD(484, 466, 87, 989) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 484, 466, 87, 989 is 1
GCD(484, 466, 87, 989) = 1
Given Input numbers are 484, 466, 87, 989
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Greatest Common Divisior
We found the divisors of 484, 466, 87, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 466, 87, 989 is 1.
Therefore, GCD of numbers 484, 466, 87, 989 is 1
Given Input Data is 484, 466, 87, 989
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 466 is 2 x 233
Prime Factorization of 87 is 3 x 29
Prime Factorization of 989 is 23 x 43
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(484, 466) = 112772
GCD(484, 466) = ( 484 x 466 ) / 112772
GCD(484, 466) = 225544 / 112772
GCD(484, 466) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 87) = 174
GCD(2, 87) = ( 2 x 87 ) / 174
GCD(2, 87) = 174 / 174
GCD(2, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 989
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 989) = 989
GCD(1, 989) = ( 1 x 989 ) / 989
GCD(1, 989) = 989 / 989
GCD(1, 989) = 1
GCD of 484, 466, 87, 989 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 484, 466, 87, 989?
GCD of 484, 466, 87, 989 is 1
2. Where do I get the detailed procedure to find GCD of 484, 466, 87, 989?
You can find a detailed procedure to find GCD of 484, 466, 87, 989 on our page.
3. How to find GCD of 484, 466, 87, 989 on a calculator?
You can find the GCD of 484, 466, 87, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.