GCD of 287, 378, 51, 774 Calculator

Given Input numbers are 287, 378, 51, 774

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

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

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 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 287, 378, 51, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 378, 51, 774 is 1.

Therefore, GCD of numbers 287, 378, 51, 774 is 1

Given Input Data is 287, 378, 51, 774

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

Prime Factorization of 287 is 7 x 41

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(287, 378) = 15498

GCD(287, 378) = ( 287 x 378 ) / 15498

GCD(287, 378) = 108486 / 15498

GCD(287, 378) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 51

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

LCM(7, 51) = 357

GCD(7, 51) = ( 7 x 51 ) / 357

GCD(7, 51) = 357 / 357

GCD(7, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 287, 378, 51, 774 is 1

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• GCD of 345, 680, 66, 643
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1. What is the GCD of 287, 378, 51, 774?

GCD of 287, 378, 51, 774 is 1

2. Where do I get the detailed procedure to find GCD of 287, 378, 51, 774?

You can find a detailed procedure to find GCD of 287, 378, 51, 774 on our page.

3. How to find GCD of 287, 378, 51, 774 on a calculator?

You can find the GCD of 287, 378, 51, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.