GCD of 176, 982, 168, 150 Calculator

Given Input numbers are 176, 982, 168, 150

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 176, 982, 168, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 982, 168, 150 is 2.

Therefore, GCD of numbers 176, 982, 168, 150 is 2

Given Input Data is 176, 982, 168, 150

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 982 is 2 x 491

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(176, 982) = 86416

GCD(176, 982) = ( 176 x 982 ) / 86416

GCD(176, 982) = 172832 / 86416

GCD(176, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 168

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

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

GCD(2, 168) = 336 / 168

GCD(2, 168) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 150

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

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

GCD(2, 150) = 300 / 150

GCD(2, 150) = 2

GCD of 176, 982, 168, 150 is 2

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1. What is the GCD of 176, 982, 168, 150?

GCD of 176, 982, 168, 150 is 2

2. Where do I get the detailed procedure to find GCD of 176, 982, 168, 150?

You can find a detailed procedure to find GCD of 176, 982, 168, 150 on our page.

3. How to find GCD of 176, 982, 168, 150 on a calculator?

You can find the GCD of 176, 982, 168, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.