GCD of 169, 341, 42, 144 Calculator

Given Input numbers are 169, 341, 42, 144

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 169, 341, 42, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 341, 42, 144 is 1.

Therefore, GCD of numbers 169, 341, 42, 144 is 1

Given Input Data is 169, 341, 42, 144

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 341 is 11 x 31

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(169, 341) = 57629

GCD(169, 341) = ( 169 x 341 ) / 57629

GCD(169, 341) = 57629 / 57629

GCD(169, 341) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 169, 341, 42, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 643, 40, 867
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• GCD of 224, 769, 54, 283

1. What is the GCD of 169, 341, 42, 144?

GCD of 169, 341, 42, 144 is 1

2. Where do I get the detailed procedure to find GCD of 169, 341, 42, 144?

You can find a detailed procedure to find GCD of 169, 341, 42, 144 on our page.

3. How to find GCD of 169, 341, 42, 144 on a calculator?

You can find the GCD of 169, 341, 42, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.