GCD of 460, 398, 67, 381 Calculator

Given Input numbers are 460, 398, 67, 381

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 460, 398, 67, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 398, 67, 381 is 1.

Therefore, GCD of numbers 460, 398, 67, 381 is 1

Given Input Data is 460, 398, 67, 381

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 398 is 2 x 199

Prime Factorization of 67 is 67

Prime Factorization of 381 is 3 x 127

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(460, 398) = 91540

GCD(460, 398) = ( 460 x 398 ) / 91540

GCD(460, 398) = 183080 / 91540

GCD(460, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 67

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

LCM(2, 67) = 134

GCD(2, 67) = ( 2 x 67 ) / 134

GCD(2, 67) = 134 / 134

GCD(2, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 460, 398, 67, 381 is 1

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1. What is the GCD of 460, 398, 67, 381?

GCD of 460, 398, 67, 381 is 1

2. Where do I get the detailed procedure to find GCD of 460, 398, 67, 381?

You can find a detailed procedure to find GCD of 460, 398, 67, 381 on our page.

3. How to find GCD of 460, 398, 67, 381 on a calculator?

You can find the GCD of 460, 398, 67, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.