GCD of 209, 398, 87, 182 Calculator

Given Input numbers are 209, 398, 87, 182

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 87

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

1, 3, 29, 87

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 209, 398, 87, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 398, 87, 182 is 1.

Therefore, GCD of numbers 209, 398, 87, 182 is 1

Given Input Data is 209, 398, 87, 182

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 398 is 2 x 199

Prime Factorization of 87 is 3 x 29

Prime Factorization of 182 is 2 x 7 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(209, 398) = 83182

GCD(209, 398) = ( 209 x 398 ) / 83182

GCD(209, 398) = 83182 / 83182

GCD(209, 398) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 182

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

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

GCD(1, 182) = 182 / 182

GCD(1, 182) = 1

GCD of 209, 398, 87, 182 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 560, 68, 846
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• GCD of 760, 326, 36, 147
• GCD of 274, 281, 49, 356

1. What is the GCD of 209, 398, 87, 182?

GCD of 209, 398, 87, 182 is 1

2. Where do I get the detailed procedure to find GCD of 209, 398, 87, 182?

You can find a detailed procedure to find GCD of 209, 398, 87, 182 on our page.

3. How to find GCD of 209, 398, 87, 182 on a calculator?

You can find the GCD of 209, 398, 87, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.