GCD of 418, 436, 89, 538 Calculator

Given Input numbers are 418, 436, 89, 538

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 418, 436, 89, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 436, 89, 538 is 1.

Therefore, GCD of numbers 418, 436, 89, 538 is 1

Given Input Data is 418, 436, 89, 538

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 89 is 89

Prime Factorization of 538 is 2 x 269

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(418, 436) = 91124

GCD(418, 436) = ( 418 x 436 ) / 91124

GCD(418, 436) = 182248 / 91124

GCD(418, 436) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 418, 436, 89, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 988, 23, 890
• GCD of 658, 397, 45, 784
• GCD of 908, 176, 33, 627
• GCD of 292, 577, 92, 729
• GCD of 158, 817, 99, 232

1. What is the GCD of 418, 436, 89, 538?

GCD of 418, 436, 89, 538 is 1

2. Where do I get the detailed procedure to find GCD of 418, 436, 89, 538?

You can find a detailed procedure to find GCD of 418, 436, 89, 538 on our page.

3. How to find GCD of 418, 436, 89, 538 on a calculator?

You can find the GCD of 418, 436, 89, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.