GCD of 278, 938, 216, 633 Calculator

Given Input numbers are 278, 938, 216, 633

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 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

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 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Greatest Common Divisior

We found the divisors of 278, 938, 216, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 938, 216, 633 is 1.

Therefore, GCD of numbers 278, 938, 216, 633 is 1

Given Input Data is 278, 938, 216, 633

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 938 is 2 x 7 x 67

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

Prime Factorization of 633 is 3 x 211

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, 938) = 130382

GCD(278, 938) = ( 278 x 938 ) / 130382

GCD(278, 938) = 260764 / 130382

GCD(278, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 216

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

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

GCD(2, 216) = 432 / 216

GCD(2, 216) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 633

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

LCM(2, 633) = 1266

GCD(2, 633) = ( 2 x 633 ) / 1266

GCD(2, 633) = 1266 / 1266

GCD(2, 633) = 1

GCD of 278, 938, 216, 633 is 1

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1. What is the GCD of 278, 938, 216, 633?

GCD of 278, 938, 216, 633 is 1

2. Where do I get the detailed procedure to find GCD of 278, 938, 216, 633?

You can find a detailed procedure to find GCD of 278, 938, 216, 633 on our page.

3. How to find GCD of 278, 938, 216, 633 on a calculator?

You can find the GCD of 278, 938, 216, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.