GCD of 988, 202, 12, 202 Calculator

Given Input numbers are 988, 202, 12, 202

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 988, 202, 12, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 202, 12, 202 is 2.

Therefore, GCD of numbers 988, 202, 12, 202 is 2

Given Input Data is 988, 202, 12, 202

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 202 is 2 x 101

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 202 is 2 x 101

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(988, 202) = 99788

GCD(988, 202) = ( 988 x 202 ) / 99788

GCD(988, 202) = 199576 / 99788

GCD(988, 202) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 202

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

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

GCD(2, 202) = 404 / 202

GCD(2, 202) = 2

GCD of 988, 202, 12, 202 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 848, 12, 856
• GCD of 690, 252, 14, 320
• GCD of 577, 380, 62, 164
• GCD of 281, 628, 27, 315
• GCD of 520, 135, 50, 678

1. What is the GCD of 988, 202, 12, 202?

GCD of 988, 202, 12, 202 is 2

2. Where do I get the detailed procedure to find GCD of 988, 202, 12, 202?

You can find a detailed procedure to find GCD of 988, 202, 12, 202 on our page.

3. How to find GCD of 988, 202, 12, 202 on a calculator?

You can find the GCD of 988, 202, 12, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.