GCD of 956, 456, 585, 448 Calculator

Given Input numbers are 956, 456, 585, 448

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

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 956, 456, 585, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 456, 585, 448 is 1.

Therefore, GCD of numbers 956, 456, 585, 448 is 1

Given Input Data is 956, 456, 585, 448

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

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(956, 456) = 108984

GCD(956, 456) = ( 956 x 456 ) / 108984

GCD(956, 456) = 435936 / 108984

GCD(956, 456) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 585

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

LCM(4, 585) = 2340

GCD(4, 585) = ( 4 x 585 ) / 2340

GCD(4, 585) = 2340 / 2340

GCD(4, 585) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 956, 456, 585, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 581, 638, 949
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1. What is the GCD of 956, 456, 585, 448?

GCD of 956, 456, 585, 448 is 1

2. Where do I get the detailed procedure to find GCD of 956, 456, 585, 448?

You can find a detailed procedure to find GCD of 956, 456, 585, 448 on our page.

3. How to find GCD of 956, 456, 585, 448 on a calculator?

You can find the GCD of 956, 456, 585, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.