GCD of 480, 178, 34, 577 Calculator

Given Input numbers are 480, 178, 34, 577

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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

Divisors of 178

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

1, 2, 89, 178

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 480, 178, 34, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 178, 34, 577 is 1.

Therefore, GCD of numbers 480, 178, 34, 577 is 1

Given Input Data is 480, 178, 34, 577

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 178 is 2 x 89

Prime Factorization of 34 is 2 x 17

Prime Factorization of 577 is 577

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(480, 178) = 42720

GCD(480, 178) = ( 480 x 178 ) / 42720

GCD(480, 178) = 85440 / 42720

GCD(480, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 577

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

LCM(2, 577) = 1154

GCD(2, 577) = ( 2 x 577 ) / 1154

GCD(2, 577) = 1154 / 1154

GCD(2, 577) = 1

GCD of 480, 178, 34, 577 is 1

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• GCD of 713, 260, 29, 437
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1. What is the GCD of 480, 178, 34, 577?

GCD of 480, 178, 34, 577 is 1

2. Where do I get the detailed procedure to find GCD of 480, 178, 34, 577?

You can find a detailed procedure to find GCD of 480, 178, 34, 577 on our page.

3. How to find GCD of 480, 178, 34, 577 on a calculator?

You can find the GCD of 480, 178, 34, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.