GCD of 251, 654, 15, 428 Calculator

Given Input numbers are 251, 654, 15, 428

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

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 251, 654, 15, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 251, 654, 15, 428 is 1.

Therefore, GCD of numbers 251, 654, 15, 428 is 1

Given Input Data is 251, 654, 15, 428

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

Prime Factorization of 251 is 251

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 15 is 3 x 5

Prime Factorization of 428 is 2 x 2 x 107

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(251, 654) = 164154

GCD(251, 654) = ( 251 x 654 ) / 164154

GCD(251, 654) = 164154 / 164154

GCD(251, 654) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 251, 654, 15, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 530, 49, 589
• GCD of 659, 984, 99, 824
• GCD of 570, 842, 44, 900
• GCD of 262, 378, 47, 320
• GCD of 885, 540, 55, 769

1. What is the GCD of 251, 654, 15, 428?

GCD of 251, 654, 15, 428 is 1

2. Where do I get the detailed procedure to find GCD of 251, 654, 15, 428?

You can find a detailed procedure to find GCD of 251, 654, 15, 428 on our page.

3. How to find GCD of 251, 654, 15, 428 on a calculator?

You can find the GCD of 251, 654, 15, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.