GCD of 628, 415, 221, 159 Calculator

Given Input numbers are 628, 415, 221, 159

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

Divisors of 628

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

1, 2, 4, 157, 314, 628

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 221

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

1, 13, 17, 221

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 628, 415, 221, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 415, 221, 159 is 1.

Therefore, GCD of numbers 628, 415, 221, 159 is 1

Given Input Data is 628, 415, 221, 159

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 415 is 5 x 83

Prime Factorization of 221 is 13 x 17

Prime Factorization of 159 is 3 x 53

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(628, 415) = 260620

GCD(628, 415) = ( 628 x 415 ) / 260620

GCD(628, 415) = 260620 / 260620

GCD(628, 415) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 628, 415, 221, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 981, 401, 176
• GCD of 991, 904, 710, 358
• GCD of 309, 871, 887, 906
• GCD of 627, 979, 221, 660
• GCD of 220, 921, 477, 844

1. What is the GCD of 628, 415, 221, 159?

GCD of 628, 415, 221, 159 is 1

2. Where do I get the detailed procedure to find GCD of 628, 415, 221, 159?

You can find a detailed procedure to find GCD of 628, 415, 221, 159 on our page.

3. How to find GCD of 628, 415, 221, 159 on a calculator?

You can find the GCD of 628, 415, 221, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.