GCD of 218, 946, 901, 231 Calculator

Given Input numbers are 218, 946, 901, 231

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 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 218, 946, 901, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 946, 901, 231 is 1.

Therefore, GCD of numbers 218, 946, 901, 231 is 1

Given Input Data is 218, 946, 901, 231

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 218 is 2 x 109

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 901 is 17 x 53

Prime Factorization of 231 is 3 x 7 x 11

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, 946) = 103114

GCD(218, 946) = ( 218 x 946 ) / 103114

GCD(218, 946) = 206228 / 103114

GCD(218, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 901

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 901) = 1802

GCD(2, 901) = ( 2 x 901 ) / 1802

GCD(2, 901) = 1802 / 1802

GCD(2, 901) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 218, 946, 901, 231 is 1

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1. What is the GCD of 218, 946, 901, 231?

GCD of 218, 946, 901, 231 is 1

2. Where do I get the detailed procedure to find GCD of 218, 946, 901, 231?

You can find a detailed procedure to find GCD of 218, 946, 901, 231 on our page.

3. How to find GCD of 218, 946, 901, 231 on a calculator?

You can find the GCD of 218, 946, 901, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.