GCD of 378, 556, 87, 196 Calculator

Given Input numbers are 378, 556, 87, 196

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 556

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

1, 2, 4, 139, 278, 556

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

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 378, 556, 87, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 556, 87, 196 is 1.

Therefore, GCD of numbers 378, 556, 87, 196 is 1

Given Input Data is 378, 556, 87, 196

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 87 is 3 x 29

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

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(378, 556) = 105084

GCD(378, 556) = ( 378 x 556 ) / 105084

GCD(378, 556) = 210168 / 105084

GCD(378, 556) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 378, 556, 87, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 365, 65, 498
• GCD of 898, 900, 42, 926
• GCD of 520, 249, 29, 361
• GCD of 828, 880, 79, 184
• GCD of 905, 435, 13, 980

1. What is the GCD of 378, 556, 87, 196?

GCD of 378, 556, 87, 196 is 1

2. Where do I get the detailed procedure to find GCD of 378, 556, 87, 196?

You can find a detailed procedure to find GCD of 378, 556, 87, 196 on our page.

3. How to find GCD of 378, 556, 87, 196 on a calculator?

You can find the GCD of 378, 556, 87, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.