GCD of 170, 122, 68, 149 Calculator

Given Input numbers are 170, 122, 68, 149

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 170, 122, 68, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 122, 68, 149 is 1.

Therefore, GCD of numbers 170, 122, 68, 149 is 1

Given Input Data is 170, 122, 68, 149

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 122 is 2 x 61

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 149 is 149

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(170, 122) = 10370

GCD(170, 122) = ( 170 x 122 ) / 10370

GCD(170, 122) = 20740 / 10370

GCD(170, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 149

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

LCM(2, 149) = 298

GCD(2, 149) = ( 2 x 149 ) / 298

GCD(2, 149) = 298 / 298

GCD(2, 149) = 1

GCD of 170, 122, 68, 149 is 1

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1. What is the GCD of 170, 122, 68, 149?

GCD of 170, 122, 68, 149 is 1

2. Where do I get the detailed procedure to find GCD of 170, 122, 68, 149?

You can find a detailed procedure to find GCD of 170, 122, 68, 149 on our page.

3. How to find GCD of 170, 122, 68, 149 on a calculator?

You can find the GCD of 170, 122, 68, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.