GCD of 868, 237, 216, 278 Calculator

Given Input numbers are 868, 237, 216, 278

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

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 278

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

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 868, 237, 216, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 237, 216, 278 is 1.

Therefore, GCD of numbers 868, 237, 216, 278 is 1

Given Input Data is 868, 237, 216, 278

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 237 is 3 x 79

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 278 is 2 x 139

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(868, 237) = 205716

GCD(868, 237) = ( 868 x 237 ) / 205716

GCD(868, 237) = 205716 / 205716

GCD(868, 237) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 868, 237, 216, 278 is 1

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1. What is the GCD of 868, 237, 216, 278?

GCD of 868, 237, 216, 278 is 1

2. Where do I get the detailed procedure to find GCD of 868, 237, 216, 278?

You can find a detailed procedure to find GCD of 868, 237, 216, 278 on our page.

3. How to find GCD of 868, 237, 216, 278 on a calculator?

You can find the GCD of 868, 237, 216, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.