GCD of 274, 111, 27, 784 Calculator

Given Input numbers are 274, 111, 27, 784

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

Divisors of 274

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

1, 2, 137, 274

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 274, 111, 27, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 111, 27, 784 is 1.

Therefore, GCD of numbers 274, 111, 27, 784 is 1

Given Input Data is 274, 111, 27, 784

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 111 is 3 x 37

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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(274, 111) = 30414

GCD(274, 111) = ( 274 x 111 ) / 30414

GCD(274, 111) = 30414 / 30414

GCD(274, 111) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 274, 111, 27, 784 is 1

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1. What is the GCD of 274, 111, 27, 784?

GCD of 274, 111, 27, 784 is 1

2. Where do I get the detailed procedure to find GCD of 274, 111, 27, 784?

You can find a detailed procedure to find GCD of 274, 111, 27, 784 on our page.

3. How to find GCD of 274, 111, 27, 784 on a calculator?

You can find the GCD of 274, 111, 27, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.