GCD of 277, 278, 214, 856 Calculator

Given Input numbers are 277, 278, 214, 856

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

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 278

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

1, 2, 139, 278

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 277, 278, 214, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 277, 278, 214, 856 is 1.

Therefore, GCD of numbers 277, 278, 214, 856 is 1

Given Input Data is 277, 278, 214, 856

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

Prime Factorization of 277 is 277

Prime Factorization of 278 is 2 x 139

Prime Factorization of 214 is 2 x 107

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(277, 278) = 77006

GCD(277, 278) = ( 277 x 278 ) / 77006

GCD(277, 278) = 77006 / 77006

GCD(277, 278) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 277, 278, 214, 856 is 1

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1. What is the GCD of 277, 278, 214, 856?

GCD of 277, 278, 214, 856 is 1

2. Where do I get the detailed procedure to find GCD of 277, 278, 214, 856?

You can find a detailed procedure to find GCD of 277, 278, 214, 856 on our page.

3. How to find GCD of 277, 278, 214, 856 on a calculator?

You can find the GCD of 277, 278, 214, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.