GCD of 196, 388, 87, 312 Calculator

Given Input numbers are 196, 388, 87, 312

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

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 87

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

1, 3, 29, 87

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 196, 388, 87, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 388, 87, 312 is 1.

Therefore, GCD of numbers 196, 388, 87, 312 is 1

Given Input Data is 196, 388, 87, 312

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

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

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 87 is 3 x 29

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(196, 388) = 19012

GCD(196, 388) = ( 196 x 388 ) / 19012

GCD(196, 388) = 76048 / 19012

GCD(196, 388) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 87

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

LCM(4, 87) = 348

GCD(4, 87) = ( 4 x 87 ) / 348

GCD(4, 87) = 348 / 348

GCD(4, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 196, 388, 87, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 155, 76, 315
• GCD of 568, 901, 84, 341
• GCD of 258, 921, 72, 158
• GCD of 376, 688, 13, 138
• GCD of 681, 364, 29, 451

1. What is the GCD of 196, 388, 87, 312?

GCD of 196, 388, 87, 312 is 1

2. Where do I get the detailed procedure to find GCD of 196, 388, 87, 312?

You can find a detailed procedure to find GCD of 196, 388, 87, 312 on our page.

3. How to find GCD of 196, 388, 87, 312 on a calculator?

You can find the GCD of 196, 388, 87, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.