GCD of 106, 172, 290, 137 Calculator

Given Input numbers are 106, 172, 290, 137

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 137

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

1, 137

Greatest Common Divisior

We found the divisors of 106, 172, 290, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 172, 290, 137 is 1.

Therefore, GCD of numbers 106, 172, 290, 137 is 1

Given Input Data is 106, 172, 290, 137

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 137 is 137

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(106, 172) = 9116

GCD(106, 172) = ( 106 x 172 ) / 9116

GCD(106, 172) = 18232 / 9116

GCD(106, 172) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 290

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

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

GCD(2, 290) = 580 / 290

GCD(2, 290) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 137

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

LCM(2, 137) = 274

GCD(2, 137) = ( 2 x 137 ) / 274

GCD(2, 137) = 274 / 274

GCD(2, 137) = 1

GCD of 106, 172, 290, 137 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 557, 943, 349
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• GCD of 289, 392, 594, 351

1. What is the GCD of 106, 172, 290, 137?

GCD of 106, 172, 290, 137 is 1

2. Where do I get the detailed procedure to find GCD of 106, 172, 290, 137?

You can find a detailed procedure to find GCD of 106, 172, 290, 137 on our page.

3. How to find GCD of 106, 172, 290, 137 on a calculator?

You can find the GCD of 106, 172, 290, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.