GCD of 942, 144, 17, 165 Calculator

Given Input numbers are 942, 144, 17, 165

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

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 942, 144, 17, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 144, 17, 165 is 1.

Therefore, GCD of numbers 942, 144, 17, 165 is 1

Given Input Data is 942, 144, 17, 165

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

Prime Factorization of 942 is 2 x 3 x 157

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

Prime Factorization of 17 is 17

Prime Factorization of 165 is 3 x 5 x 11

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(942, 144) = 22608

GCD(942, 144) = ( 942 x 144 ) / 22608

GCD(942, 144) = 135648 / 22608

GCD(942, 144) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 17

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

LCM(6, 17) = 102

GCD(6, 17) = ( 6 x 17 ) / 102

GCD(6, 17) = 102 / 102

GCD(6, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 942, 144, 17, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 246, 313, 91, 979
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• GCD of 760, 417, 25, 849
• GCD of 117, 903, 89, 659

1. What is the GCD of 942, 144, 17, 165?

GCD of 942, 144, 17, 165 is 1

2. Where do I get the detailed procedure to find GCD of 942, 144, 17, 165?

You can find a detailed procedure to find GCD of 942, 144, 17, 165 on our page.

3. How to find GCD of 942, 144, 17, 165 on a calculator?

You can find the GCD of 942, 144, 17, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.