GCD of 178, 672, 650, 173 Calculator

Given Input numbers are 178, 672, 650, 173

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

Divisors of 178

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

1, 2, 89, 178

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 178, 672, 650, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 672, 650, 173 is 1.

Therefore, GCD of numbers 178, 672, 650, 173 is 1

Given Input Data is 178, 672, 650, 173

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 173 is 173

The above numbers do not have any common prime factor. So GCD is 1

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(178, 672) = 59808

GCD(178, 672) = ( 178 x 672 ) / 59808

GCD(178, 672) = 119616 / 59808

GCD(178, 672) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 650

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

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

GCD(2, 650) = 1300 / 650

GCD(2, 650) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 173

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

LCM(2, 173) = 346

GCD(2, 173) = ( 2 x 173 ) / 346

GCD(2, 173) = 346 / 346

GCD(2, 173) = 1

GCD of 178, 672, 650, 173 is 1

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1. What is the GCD of 178, 672, 650, 173?

GCD of 178, 672, 650, 173 is 1

2. Where do I get the detailed procedure to find GCD of 178, 672, 650, 173?

You can find a detailed procedure to find GCD of 178, 672, 650, 173 on our page.

3. How to find GCD of 178, 672, 650, 173 on a calculator?

You can find the GCD of 178, 672, 650, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.