GCD of 218, 432, 387, 490 Calculator

Given Input numbers are 218, 432, 387, 490

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 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 218, 432, 387, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 432, 387, 490 is 1.

Therefore, GCD of numbers 218, 432, 387, 490 is 1

Given Input Data is 218, 432, 387, 490

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 490 is 2 x 5 x 7 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(218, 432) = 47088

GCD(218, 432) = ( 218 x 432 ) / 47088

GCD(218, 432) = 94176 / 47088

GCD(218, 432) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 387

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

LCM(2, 387) = 774

GCD(2, 387) = ( 2 x 387 ) / 774

GCD(2, 387) = 774 / 774

GCD(2, 387) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 218, 432, 387, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 913, 777, 105
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• GCD of 301, 253, 255, 355
• GCD of 263, 908, 883, 438
• GCD of 591, 756, 828, 967

1. What is the GCD of 218, 432, 387, 490?

GCD of 218, 432, 387, 490 is 1

2. Where do I get the detailed procedure to find GCD of 218, 432, 387, 490?

You can find a detailed procedure to find GCD of 218, 432, 387, 490 on our page.

3. How to find GCD of 218, 432, 387, 490 on a calculator?

You can find the GCD of 218, 432, 387, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.