GCD of 106, 146, 221, 402 Calculator

Given Input numbers are 106, 146, 221, 402

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 221

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

1, 13, 17, 221

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 106, 146, 221, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 146, 221, 402 is 1.

Therefore, GCD of numbers 106, 146, 221, 402 is 1

Given Input Data is 106, 146, 221, 402

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 146 is 2 x 73

Prime Factorization of 221 is 13 x 17

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(106, 146) = 7738

GCD(106, 146) = ( 106 x 146 ) / 7738

GCD(106, 146) = 15476 / 7738

GCD(106, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 221

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

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

GCD(2, 221) = 442 / 442

GCD(2, 221) = 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 106, 146, 221, 402 is 1

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1. What is the GCD of 106, 146, 221, 402?

GCD of 106, 146, 221, 402 is 1

2. Where do I get the detailed procedure to find GCD of 106, 146, 221, 402?

You can find a detailed procedure to find GCD of 106, 146, 221, 402 on our page.

3. How to find GCD of 106, 146, 221, 402 on a calculator?

You can find the GCD of 106, 146, 221, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.