GCD of 378, 294, 62, 423 Calculator

Given Input numbers are 378, 294, 62, 423

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 378, 294, 62, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 294, 62, 423 is 1.

Therefore, GCD of numbers 378, 294, 62, 423 is 1

Given Input Data is 378, 294, 62, 423

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 62 is 2 x 31

Prime Factorization of 423 is 3 x 3 x 47

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(378, 294) = 2646

GCD(378, 294) = ( 378 x 294 ) / 2646

GCD(378, 294) = 111132 / 2646

GCD(378, 294) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 62

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

LCM(42, 62) = 1302

GCD(42, 62) = ( 42 x 62 ) / 1302

GCD(42, 62) = 2604 / 1302

GCD(42, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

GCD of 378, 294, 62, 423 is 1

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1. What is the GCD of 378, 294, 62, 423?

GCD of 378, 294, 62, 423 is 1

2. Where do I get the detailed procedure to find GCD of 378, 294, 62, 423?

You can find a detailed procedure to find GCD of 378, 294, 62, 423 on our page.

3. How to find GCD of 378, 294, 62, 423 on a calculator?

You can find the GCD of 378, 294, 62, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.