GCD of 144, 422, 942, 954 Calculator

Given Input numbers are 144, 422, 942, 954

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

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 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 144, 422, 942, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 422, 942, 954 is 2.

Therefore, GCD of numbers 144, 422, 942, 954 is 2

Given Input Data is 144, 422, 942, 954

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

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 954 is 2 x 3 x 3 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(144, 422) = 30384

GCD(144, 422) = ( 144 x 422 ) / 30384

GCD(144, 422) = 60768 / 30384

GCD(144, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 942

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

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

GCD(2, 942) = 1884 / 942

GCD(2, 942) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 954

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

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

GCD(2, 954) = 1908 / 954

GCD(2, 954) = 2

GCD of 144, 422, 942, 954 is 2

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1. What is the GCD of 144, 422, 942, 954?

GCD of 144, 422, 942, 954 is 2

2. Where do I get the detailed procedure to find GCD of 144, 422, 942, 954?

You can find a detailed procedure to find GCD of 144, 422, 942, 954 on our page.

3. How to find GCD of 144, 422, 942, 954 on a calculator?

You can find the GCD of 144, 422, 942, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.