GCD of 137, 406, 99, 283 Calculator

Given Input numbers are 137, 406, 99, 283

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

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Greatest Common Divisior

We found the divisors of 137, 406, 99, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 406, 99, 283 is 1.

Therefore, GCD of numbers 137, 406, 99, 283 is 1

Given Input Data is 137, 406, 99, 283

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

Prime Factorization of 137 is 137

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 283 is 283

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(137, 406) = 55622

GCD(137, 406) = ( 137 x 406 ) / 55622

GCD(137, 406) = 55622 / 55622

GCD(137, 406) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 283

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

LCM(1, 283) = 283

GCD(1, 283) = ( 1 x 283 ) / 283

GCD(1, 283) = 283 / 283

GCD(1, 283) = 1

GCD of 137, 406, 99, 283 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 340, 53, 321
• GCD of 130, 362, 59, 320
• GCD of 306, 575, 35, 674
• GCD of 276, 771, 84, 683
• GCD of 993, 346, 59, 189

1. What is the GCD of 137, 406, 99, 283?

GCD of 137, 406, 99, 283 is 1

2. Where do I get the detailed procedure to find GCD of 137, 406, 99, 283?

You can find a detailed procedure to find GCD of 137, 406, 99, 283 on our page.

3. How to find GCD of 137, 406, 99, 283 on a calculator?

You can find the GCD of 137, 406, 99, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.