GCD of 351, 146, 302, 106 Calculator

Given Input numbers are 351, 146, 302, 106

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 146

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

1, 2, 73, 146

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 106

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

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 351, 146, 302, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 146, 302, 106 is 1.

Therefore, GCD of numbers 351, 146, 302, 106 is 1

Given Input Data is 351, 146, 302, 106

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 146 is 2 x 73

Prime Factorization of 302 is 2 x 151

Prime Factorization of 106 is 2 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(351, 146) = 51246

GCD(351, 146) = ( 351 x 146 ) / 51246

GCD(351, 146) = 51246 / 51246

GCD(351, 146) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 351, 146, 302, 106 is 1

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1. What is the GCD of 351, 146, 302, 106?

GCD of 351, 146, 302, 106 is 1

2. Where do I get the detailed procedure to find GCD of 351, 146, 302, 106?

You can find a detailed procedure to find GCD of 351, 146, 302, 106 on our page.

3. How to find GCD of 351, 146, 302, 106 on a calculator?

You can find the GCD of 351, 146, 302, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.