GCD of 176, 674, 495, 360 Calculator

Given Input numbers are 176, 674, 495, 360

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 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 176, 674, 495, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 674, 495, 360 is 1.

Therefore, GCD of numbers 176, 674, 495, 360 is 1

Given Input Data is 176, 674, 495, 360

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 674 is 2 x 337

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(176, 674) = 59312

GCD(176, 674) = ( 176 x 674 ) / 59312

GCD(176, 674) = 118624 / 59312

GCD(176, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 495

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

LCM(2, 495) = 990

GCD(2, 495) = ( 2 x 495 ) / 990

GCD(2, 495) = 990 / 990

GCD(2, 495) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 176, 674, 495, 360 is 1

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1. What is the GCD of 176, 674, 495, 360?

GCD of 176, 674, 495, 360 is 1

2. Where do I get the detailed procedure to find GCD of 176, 674, 495, 360?

You can find a detailed procedure to find GCD of 176, 674, 495, 360 on our page.

3. How to find GCD of 176, 674, 495, 360 on a calculator?

You can find the GCD of 176, 674, 495, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.