GCD of 305, 368, 126, 474 Calculator

Given Input numbers are 305, 368, 126, 474

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 305, 368, 126, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 368, 126, 474 is 1.

Therefore, GCD of numbers 305, 368, 126, 474 is 1

Given Input Data is 305, 368, 126, 474

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 474 is 2 x 3 x 79

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(305, 368) = 112240

GCD(305, 368) = ( 305 x 368 ) / 112240

GCD(305, 368) = 112240 / 112240

GCD(305, 368) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 305, 368, 126, 474 is 1

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1. What is the GCD of 305, 368, 126, 474?

GCD of 305, 368, 126, 474 is 1

2. Where do I get the detailed procedure to find GCD of 305, 368, 126, 474?

You can find a detailed procedure to find GCD of 305, 368, 126, 474 on our page.

3. How to find GCD of 305, 368, 126, 474 on a calculator?

You can find the GCD of 305, 368, 126, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.