GCD of 960, 606, 494, 178 Calculator

Given Input numbers are 960, 606, 494, 178

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

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 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

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 960, 606, 494, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 606, 494, 178 is 2.

Therefore, GCD of numbers 960, 606, 494, 178 is 2

Given Input Data is 960, 606, 494, 178

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

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

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 494 is 2 x 13 x 19

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(960, 606) = 96960

GCD(960, 606) = ( 960 x 606 ) / 96960

GCD(960, 606) = 581760 / 96960

GCD(960, 606) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 494

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

LCM(6, 494) = 1482

GCD(6, 494) = ( 6 x 494 ) / 1482

GCD(6, 494) = 2964 / 1482

GCD(6, 494) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 178

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

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

GCD(2, 178) = 356 / 178

GCD(2, 178) = 2

GCD of 960, 606, 494, 178 is 2

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1. What is the GCD of 960, 606, 494, 178?

GCD of 960, 606, 494, 178 is 2

2. Where do I get the detailed procedure to find GCD of 960, 606, 494, 178?

You can find a detailed procedure to find GCD of 960, 606, 494, 178 on our page.

3. How to find GCD of 960, 606, 494, 178 on a calculator?

You can find the GCD of 960, 606, 494, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.