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 408, 989, 67, 210 i.e. 1 largest integer that divides all the numbers equally.
GCD of 408, 989, 67, 210 is 1
GCD(408, 989, 67, 210) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 408, 989, 67, 210 is 1
GCD(408, 989, 67, 210) = 1
Given Input numbers are 408, 989, 67, 210
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
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 408, 989, 67, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 989, 67, 210 is 1.
Therefore, GCD of numbers 408, 989, 67, 210 is 1
Given Input Data is 408, 989, 67, 210
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 989 is 23 x 43
Prime Factorization of 67 is 67
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(408, 989) = 403512
GCD(408, 989) = ( 408 x 989 ) / 403512
GCD(408, 989) = 403512 / 403512
GCD(408, 989) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 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 408, 989, 67, 210 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 408, 989, 67, 210?
GCD of 408, 989, 67, 210 is 1
2. Where do I get the detailed procedure to find GCD of 408, 989, 67, 210?
You can find a detailed procedure to find GCD of 408, 989, 67, 210 on our page.
3. How to find GCD of 408, 989, 67, 210 on a calculator?
You can find the GCD of 408, 989, 67, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.