GCD of 29, 442, 971, 448 Calculator

Given Input numbers are 29, 442, 971, 448

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

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 29, 442, 971, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 442, 971, 448 is 1.

Therefore, GCD of numbers 29, 442, 971, 448 is 1

Given Input Data is 29, 442, 971, 448

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

Prime Factorization of 29 is 29

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 971 is 971

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(29, 442) = 12818

GCD(29, 442) = ( 29 x 442 ) / 12818

GCD(29, 442) = 12818 / 12818

GCD(29, 442) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 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 29, 442, 971, 448 is 1

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1. What is the GCD of 29, 442, 971, 448?

GCD of 29, 442, 971, 448 is 1

2. Where do I get the detailed procedure to find GCD of 29, 442, 971, 448?

You can find a detailed procedure to find GCD of 29, 442, 971, 448 on our page.

3. How to find GCD of 29, 442, 971, 448 on a calculator?

You can find the GCD of 29, 442, 971, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.