GCD of 278, 284, 756, 253 Calculator

Given Input numbers are 278, 284, 756, 253

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 278, 284, 756, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 284, 756, 253 is 1.

Therefore, GCD of numbers 278, 284, 756, 253 is 1

Given Input Data is 278, 284, 756, 253

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 253 is 11 x 23

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(278, 284) = 39476

GCD(278, 284) = ( 278 x 284 ) / 39476

GCD(278, 284) = 78952 / 39476

GCD(278, 284) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 253

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

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

GCD(2, 253) = 506 / 506

GCD(2, 253) = 1

GCD of 278, 284, 756, 253 is 1

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1. What is the GCD of 278, 284, 756, 253?

GCD of 278, 284, 756, 253 is 1

2. Where do I get the detailed procedure to find GCD of 278, 284, 756, 253?

You can find a detailed procedure to find GCD of 278, 284, 756, 253 on our page.

3. How to find GCD of 278, 284, 756, 253 on a calculator?

You can find the GCD of 278, 284, 756, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.