GCD of 218, 236, 31, 425 Calculator

Given Input numbers are 218, 236, 31, 425

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 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 218, 236, 31, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 236, 31, 425 is 1.

Therefore, GCD of numbers 218, 236, 31, 425 is 1

Given Input Data is 218, 236, 31, 425

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 31 is 31

Prime Factorization of 425 is 5 x 5 x 17

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, 236) = 25724

GCD(218, 236) = ( 218 x 236 ) / 25724

GCD(218, 236) = 51448 / 25724

GCD(218, 236) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 425

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

LCM(1, 425) = 425

GCD(1, 425) = ( 1 x 425 ) / 425

GCD(1, 425) = 425 / 425

GCD(1, 425) = 1

GCD of 218, 236, 31, 425 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 341, 48, 116
• GCD of 958, 157, 83, 698
• GCD of 169, 682, 53, 734
• GCD of 185, 801, 90, 194
• GCD of 838, 220, 54, 103

1. What is the GCD of 218, 236, 31, 425?

GCD of 218, 236, 31, 425 is 1

2. Where do I get the detailed procedure to find GCD of 218, 236, 31, 425?

You can find a detailed procedure to find GCD of 218, 236, 31, 425 on our page.

3. How to find GCD of 218, 236, 31, 425 on a calculator?

You can find the GCD of 218, 236, 31, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.