GCD of 351, 202, 149, 459 Calculator

Given Input numbers are 351, 202, 149, 459

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 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 351, 202, 149, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 202, 149, 459 is 1.

Therefore, GCD of numbers 351, 202, 149, 459 is 1

Given Input Data is 351, 202, 149, 459

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 202 is 2 x 101

Prime Factorization of 149 is 149

Prime Factorization of 459 is 3 x 3 x 3 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(351, 202) = 70902

GCD(351, 202) = ( 351 x 202 ) / 70902

GCD(351, 202) = 70902 / 70902

GCD(351, 202) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 351, 202, 149, 459 is 1

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1. What is the GCD of 351, 202, 149, 459?

GCD of 351, 202, 149, 459 is 1

2. Where do I get the detailed procedure to find GCD of 351, 202, 149, 459?

You can find a detailed procedure to find GCD of 351, 202, 149, 459 on our page.

3. How to find GCD of 351, 202, 149, 459 on a calculator?

You can find the GCD of 351, 202, 149, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.