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, 447, 862, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 218, 447, 862, 133 is 1
GCD(218, 447, 862, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 218, 447, 862, 133 is 1
GCD(218, 447, 862, 133) = 1
Given Input numbers are 218, 447, 862, 133
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 447
List of positive integer divisors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Greatest Common Divisior
We found the divisors of 218, 447, 862, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 447, 862, 133 is 1.
Therefore, GCD of numbers 218, 447, 862, 133 is 1
Given Input Data is 218, 447, 862, 133
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 218 is 2 x 109
Prime Factorization of 447 is 3 x 149
Prime Factorization of 862 is 2 x 431
Prime Factorization of 133 is 7 x 19
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, 447) = 97446
GCD(218, 447) = ( 218 x 447 ) / 97446
GCD(218, 447) = 97446 / 97446
GCD(218, 447) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 862
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 862) = 862
GCD(1, 862) = ( 1 x 862 ) / 862
GCD(1, 862) = 862 / 862
GCD(1, 862) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
GCD of 218, 447, 862, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 218, 447, 862, 133?
GCD of 218, 447, 862, 133 is 1
2. Where do I get the detailed procedure to find GCD of 218, 447, 862, 133?
You can find a detailed procedure to find GCD of 218, 447, 862, 133 on our page.
3. How to find GCD of 218, 447, 862, 133 on a calculator?
You can find the GCD of 218, 447, 862, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.