GCD of 342, 477, 469, 136 Calculator

Given Input numbers are 342, 477, 469, 136

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Greatest Common Divisior

We found the divisors of 342, 477, 469, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 477, 469, 136 is 1.

Therefore, GCD of numbers 342, 477, 469, 136 is 1

Given Input Data is 342, 477, 469, 136

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 469 is 7 x 67

Prime Factorization of 136 is 2 x 2 x 2 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(342, 477) = 18126

GCD(342, 477) = ( 342 x 477 ) / 18126

GCD(342, 477) = 163134 / 18126

GCD(342, 477) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 469

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

LCM(9, 469) = 4221

GCD(9, 469) = ( 9 x 469 ) / 4221

GCD(9, 469) = 4221 / 4221

GCD(9, 469) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

GCD of 342, 477, 469, 136 is 1

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1. What is the GCD of 342, 477, 469, 136?

GCD of 342, 477, 469, 136 is 1

2. Where do I get the detailed procedure to find GCD of 342, 477, 469, 136?

You can find a detailed procedure to find GCD of 342, 477, 469, 136 on our page.

3. How to find GCD of 342, 477, 469, 136 on a calculator?

You can find the GCD of 342, 477, 469, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.