GCD of 380, 274, 152, 556 Calculator

Given Input numbers are 380, 274, 152, 556

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 380, 274, 152, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 274, 152, 556 is 2.

Therefore, GCD of numbers 380, 274, 152, 556 is 2

Given Input Data is 380, 274, 152, 556

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 274 is 2 x 137

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 556 is 2 x 2 x 139

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(380, 274) = 52060

GCD(380, 274) = ( 380 x 274 ) / 52060

GCD(380, 274) = 104120 / 52060

GCD(380, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 152

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

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

GCD(2, 152) = 304 / 152

GCD(2, 152) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 556

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

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

GCD(2, 556) = 1112 / 556

GCD(2, 556) = 2

GCD of 380, 274, 152, 556 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 413, 406, 148
• GCD of 544, 531, 356, 299
• GCD of 712, 413, 863, 194
• GCD of 483, 708, 796, 110
• GCD of 346, 639, 745, 938

1. What is the GCD of 380, 274, 152, 556?

GCD of 380, 274, 152, 556 is 2

2. Where do I get the detailed procedure to find GCD of 380, 274, 152, 556?

You can find a detailed procedure to find GCD of 380, 274, 152, 556 on our page.

3. How to find GCD of 380, 274, 152, 556 on a calculator?

You can find the GCD of 380, 274, 152, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.