GCD of 448, 956, 436, 397 Calculator

Given Input numbers are 448, 956, 436, 397

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

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

Divisors of 956

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

1, 2, 4, 239, 478, 956

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 448, 956, 436, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 956, 436, 397 is 1.

Therefore, GCD of numbers 448, 956, 436, 397 is 1

Given Input Data is 448, 956, 436, 397

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

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

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 397 is 397

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(448, 956) = 107072

GCD(448, 956) = ( 448 x 956 ) / 107072

GCD(448, 956) = 428288 / 107072

GCD(448, 956) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 436

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

LCM(4, 436) = 436

GCD(4, 436) = ( 4 x 436 ) / 436

GCD(4, 436) = 1744 / 436

GCD(4, 436) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 397

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

LCM(4, 397) = 1588

GCD(4, 397) = ( 4 x 397 ) / 1588

GCD(4, 397) = 1588 / 1588

GCD(4, 397) = 1

GCD of 448, 956, 436, 397 is 1

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1. What is the GCD of 448, 956, 436, 397?

GCD of 448, 956, 436, 397 is 1

2. Where do I get the detailed procedure to find GCD of 448, 956, 436, 397?

You can find a detailed procedure to find GCD of 448, 956, 436, 397 on our page.

3. How to find GCD of 448, 956, 436, 397 on a calculator?

You can find the GCD of 448, 956, 436, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.