GCD of 552, 944, 42, 132 Calculator

Given Input numbers are 552, 944, 42, 132

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

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 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 552, 944, 42, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 944, 42, 132 is 2.

Therefore, GCD of numbers 552, 944, 42, 132 is 2

Given Input Data is 552, 944, 42, 132

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(552, 944) = 65136

GCD(552, 944) = ( 552 x 944 ) / 65136

GCD(552, 944) = 521088 / 65136

GCD(552, 944) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 42

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

LCM(8, 42) = 168

GCD(8, 42) = ( 8 x 42 ) / 168

GCD(8, 42) = 336 / 168

GCD(8, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 132

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

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

GCD(2, 132) = 264 / 132

GCD(2, 132) = 2

GCD of 552, 944, 42, 132 is 2

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1. What is the GCD of 552, 944, 42, 132?

GCD of 552, 944, 42, 132 is 2

2. Where do I get the detailed procedure to find GCD of 552, 944, 42, 132?

You can find a detailed procedure to find GCD of 552, 944, 42, 132 on our page.

3. How to find GCD of 552, 944, 42, 132 on a calculator?

You can find the GCD of 552, 944, 42, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.