GCD of 32, 960, 296, 178 Calculator

Given Input numbers are 32, 960, 296, 178

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 32, 960, 296, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 960, 296, 178 is 2.

Therefore, GCD of numbers 32, 960, 296, 178 is 2

Given Input Data is 32, 960, 296, 178

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 178 is 2 x 89

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(32, 960) = 960

GCD(32, 960) = ( 32 x 960 ) / 960

GCD(32, 960) = 30720 / 960

GCD(32, 960) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 296

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

LCM(32, 296) = 1184

GCD(32, 296) = ( 32 x 296 ) / 1184

GCD(32, 296) = 9472 / 1184

GCD(32, 296) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 178

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

LCM(8, 178) = 712

GCD(8, 178) = ( 8 x 178 ) / 712

GCD(8, 178) = 1424 / 712

GCD(8, 178) = 2

GCD of 32, 960, 296, 178 is 2

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• GCD of 83, 828, 918, 704
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• GCD of 11, 400, 963, 103

1. What is the GCD of 32, 960, 296, 178?

GCD of 32, 960, 296, 178 is 2

2. Where do I get the detailed procedure to find GCD of 32, 960, 296, 178?

You can find a detailed procedure to find GCD of 32, 960, 296, 178 on our page.

3. How to find GCD of 32, 960, 296, 178 on a calculator?

You can find the GCD of 32, 960, 296, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.