GCD of 413, 366, 577, 960 Calculator

Given Input numbers are 413, 366, 577, 960

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 577

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

1, 577

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

Greatest Common Divisior

We found the divisors of 413, 366, 577, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 366, 577, 960 is 1.

Therefore, GCD of numbers 413, 366, 577, 960 is 1

Given Input Data is 413, 366, 577, 960

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 577 is 577

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 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(413, 366) = 151158

GCD(413, 366) = ( 413 x 366 ) / 151158

GCD(413, 366) = 151158 / 151158

GCD(413, 366) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 577

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

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

GCD(1, 577) = 577 / 577

GCD(1, 577) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 413, 366, 577, 960 is 1

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1. What is the GCD of 413, 366, 577, 960?

GCD of 413, 366, 577, 960 is 1

2. Where do I get the detailed procedure to find GCD of 413, 366, 577, 960?

You can find a detailed procedure to find GCD of 413, 366, 577, 960 on our page.

3. How to find GCD of 413, 366, 577, 960 on a calculator?

You can find the GCD of 413, 366, 577, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.