GCD of 381, 600, 274 Calculator

Given Input numbers are 381, 600, 274

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

Divisors of 381

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

1, 3, 127, 381

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 381, 600, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 600, 274 is 1.

Therefore, GCD of numbers 381, 600, 274 is 1

Given Input Data is 381, 600, 274

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 274 is 2 x 137

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(381, 600) = 76200

GCD(381, 600) = ( 381 x 600 ) / 76200

GCD(381, 600) = 228600 / 76200

GCD(381, 600) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 274

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

LCM(3, 274) = 822

GCD(3, 274) = ( 3 x 274 ) / 822

GCD(3, 274) = 822 / 822

GCD(3, 274) = 1

GCD of 381, 600, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 270, 869
• GCD of 706, 905, 312
• GCD of 874, 882, 839
• GCD of 139, 102, 595
• GCD of 663, 520, 740

1. What is the GCD of 381, 600, 274?

GCD of 381, 600, 274 is 1

2. Where do I get the detailed procedure to find GCD of 381, 600, 274?

You can find a detailed procedure to find GCD of 381, 600, 274 on our page.

3. How to find GCD of 381, 600, 274 on a calculator?

You can find the GCD of 381, 600, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.