GCD of 12, 916, 125, 221 Calculator

Given Input numbers are 12, 916, 125, 221

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 12, 916, 125, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 916, 125, 221 is 1.

Therefore, GCD of numbers 12, 916, 125, 221 is 1

Given Input Data is 12, 916, 125, 221

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 221 is 13 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(12, 916) = 2748

GCD(12, 916) = ( 12 x 916 ) / 2748

GCD(12, 916) = 10992 / 2748

GCD(12, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 125

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

LCM(4, 125) = 500

GCD(4, 125) = ( 4 x 125 ) / 500

GCD(4, 125) = 500 / 500

GCD(4, 125) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 12, 916, 125, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 124, 918, 792
• GCD of 95, 638, 322, 609
• GCD of 12, 368, 812, 116
• GCD of 31, 925, 318, 309
• GCD of 55, 256, 847, 249

1. What is the GCD of 12, 916, 125, 221?

GCD of 12, 916, 125, 221 is 1

2. Where do I get the detailed procedure to find GCD of 12, 916, 125, 221?

You can find a detailed procedure to find GCD of 12, 916, 125, 221 on our page.

3. How to find GCD of 12, 916, 125, 221 on a calculator?

You can find the GCD of 12, 916, 125, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.