GCD of 278, 548, 28, 196 Calculator

Given Input numbers are 278, 548, 28, 196

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 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 278, 548, 28, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 548, 28, 196 is 2.

Therefore, GCD of numbers 278, 548, 28, 196 is 2

Given Input Data is 278, 548, 28, 196

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 196 is 2 x 2 x 7 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 548) = 76172

GCD(278, 548) = ( 278 x 548 ) / 76172

GCD(278, 548) = 152344 / 76172

GCD(278, 548) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 196

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

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

GCD(2, 196) = 392 / 196

GCD(2, 196) = 2

GCD of 278, 548, 28, 196 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 674, 61, 150
• GCD of 893, 890, 61, 876
• GCD of 565, 457, 67, 216
• GCD of 495, 344, 19, 899
• GCD of 649, 765, 21, 614

1. What is the GCD of 278, 548, 28, 196?

GCD of 278, 548, 28, 196 is 2

2. Where do I get the detailed procedure to find GCD of 278, 548, 28, 196?

You can find a detailed procedure to find GCD of 278, 548, 28, 196 on our page.

3. How to find GCD of 278, 548, 28, 196 on a calculator?

You can find the GCD of 278, 548, 28, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.