GCD of 128, 409, 167, 402 Calculator

Given Input numbers are 128, 409, 167, 402

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

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 128, 409, 167, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 409, 167, 402 is 1.

Therefore, GCD of numbers 128, 409, 167, 402 is 1

Given Input Data is 128, 409, 167, 402

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

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 409 is 409

Prime Factorization of 167 is 167

Prime Factorization of 402 is 2 x 3 x 67

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(128, 409) = 52352

GCD(128, 409) = ( 128 x 409 ) / 52352

GCD(128, 409) = 52352 / 52352

GCD(128, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 167

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

LCM(1, 167) = 167

GCD(1, 167) = ( 1 x 167 ) / 167

GCD(1, 167) = 167 / 167

GCD(1, 167) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 128, 409, 167, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 929, 319, 997
• GCD of 704, 236, 163, 693
• GCD of 935, 357, 922, 394
• GCD of 213, 954, 680, 352
• GCD of 401, 975, 755, 659

1. What is the GCD of 128, 409, 167, 402?

GCD of 128, 409, 167, 402 is 1

2. Where do I get the detailed procedure to find GCD of 128, 409, 167, 402?

You can find a detailed procedure to find GCD of 128, 409, 167, 402 on our page.

3. How to find GCD of 128, 409, 167, 402 on a calculator?

You can find the GCD of 128, 409, 167, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.