GCD of 419, 960, 357, 582 Calculator

Given Input numbers are 419, 960, 357, 582

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

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Greatest Common Divisior

We found the divisors of 419, 960, 357, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 419, 960, 357, 582 is 1.

Therefore, GCD of numbers 419, 960, 357, 582 is 1

Given Input Data is 419, 960, 357, 582

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

Prime Factorization of 419 is 419

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 582 is 2 x 3 x 97

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(419, 960) = 402240

GCD(419, 960) = ( 419 x 960 ) / 402240

GCD(419, 960) = 402240 / 402240

GCD(419, 960) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 582

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

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

GCD(1, 582) = 582 / 582

GCD(1, 582) = 1

GCD of 419, 960, 357, 582 is 1

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1. What is the GCD of 419, 960, 357, 582?

GCD of 419, 960, 357, 582 is 1

2. Where do I get the detailed procedure to find GCD of 419, 960, 357, 582?

You can find a detailed procedure to find GCD of 419, 960, 357, 582 on our page.

3. How to find GCD of 419, 960, 357, 582 on a calculator?

You can find the GCD of 419, 960, 357, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.