GCD of 420, 135, 449, 178 Calculator

Given Input numbers are 420, 135, 449, 178

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 420, 135, 449, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 135, 449, 178 is 1.

Therefore, GCD of numbers 420, 135, 449, 178 is 1

Given Input Data is 420, 135, 449, 178

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 449 is 449

Prime Factorization of 178 is 2 x 89

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(420, 135) = 3780

GCD(420, 135) = ( 420 x 135 ) / 3780

GCD(420, 135) = 56700 / 3780

GCD(420, 135) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 449

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

LCM(15, 449) = 6735

GCD(15, 449) = ( 15 x 449 ) / 6735

GCD(15, 449) = 6735 / 6735

GCD(15, 449) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

GCD of 420, 135, 449, 178 is 1

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1. What is the GCD of 420, 135, 449, 178?

GCD of 420, 135, 449, 178 is 1

2. Where do I get the detailed procedure to find GCD of 420, 135, 449, 178?

You can find a detailed procedure to find GCD of 420, 135, 449, 178 on our page.

3. How to find GCD of 420, 135, 449, 178 on a calculator?

You can find the GCD of 420, 135, 449, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.