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 218, 149, 210, 804 i.e. 1 largest integer that divides all the numbers equally.
GCD of 218, 149, 210, 804 is 1
GCD(218, 149, 210, 804) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 218, 149, 210, 804 is 1
GCD(218, 149, 210, 804) = 1
Given Input numbers are 218, 149, 210, 804
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
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
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Greatest Common Divisior
We found the divisors of 218, 149, 210, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 149, 210, 804 is 1.
Therefore, GCD of numbers 218, 149, 210, 804 is 1
Given Input Data is 218, 149, 210, 804
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 218 is 2 x 109
Prime Factorization of 149 is 149
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 804 is 2 x 2 x 3 x 67
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(218, 149) = 32482
GCD(218, 149) = ( 218 x 149 ) / 32482
GCD(218, 149) = 32482 / 32482
GCD(218, 149) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 804) = 804
GCD(1, 804) = ( 1 x 804 ) / 804
GCD(1, 804) = 804 / 804
GCD(1, 804) = 1
GCD of 218, 149, 210, 804 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 218, 149, 210, 804?
GCD of 218, 149, 210, 804 is 1
2. Where do I get the detailed procedure to find GCD of 218, 149, 210, 804?
You can find a detailed procedure to find GCD of 218, 149, 210, 804 on our page.
3. How to find GCD of 218, 149, 210, 804 on a calculator?
You can find the GCD of 218, 149, 210, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.