GCD of 428, 628, 15, 357 Calculator

Given Input numbers are 428, 628, 15, 357

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

Divisors of 428

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

1, 2, 4, 107, 214, 428

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 15

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

1, 3, 5, 15

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 428, 628, 15, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 628, 15, 357 is 1.

Therefore, GCD of numbers 428, 628, 15, 357 is 1

Given Input Data is 428, 628, 15, 357

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 15 is 3 x 5

Prime Factorization of 357 is 3 x 7 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(428, 628) = 67196

GCD(428, 628) = ( 428 x 628 ) / 67196

GCD(428, 628) = 268784 / 67196

GCD(428, 628) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 15

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

LCM(4, 15) = 60

GCD(4, 15) = ( 4 x 15 ) / 60

GCD(4, 15) = 60 / 60

GCD(4, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

GCD of 428, 628, 15, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 550, 37, 738
• GCD of 444, 584, 98, 527
• GCD of 411, 728, 78, 147
• GCD of 212, 954, 44, 411
• GCD of 990, 340, 27, 963

1. What is the GCD of 428, 628, 15, 357?

GCD of 428, 628, 15, 357 is 1

2. Where do I get the detailed procedure to find GCD of 428, 628, 15, 357?

You can find a detailed procedure to find GCD of 428, 628, 15, 357 on our page.

3. How to find GCD of 428, 628, 15, 357 on a calculator?

You can find the GCD of 428, 628, 15, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.