GCD of 800, 127, 972, 449 Calculator

Given Input numbers are 800, 127, 972, 449

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 127

List of positive integer divisors of 127 that divides 127 without a remainder.

1, 127

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Greatest Common Divisior

We found the divisors of 800, 127, 972, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 127, 972, 449 is 1.

Therefore, GCD of numbers 800, 127, 972, 449 is 1

Given Input Data is 800, 127, 972, 449

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 127 is 127

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 449 is 449

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(800, 127) = 101600

GCD(800, 127) = ( 800 x 127 ) / 101600

GCD(800, 127) = 101600 / 101600

GCD(800, 127) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 449

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

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

GCD(1, 449) = 449 / 449

GCD(1, 449) = 1

GCD of 800, 127, 972, 449 is 1

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1. What is the GCD of 800, 127, 972, 449?

GCD of 800, 127, 972, 449 is 1

2. Where do I get the detailed procedure to find GCD of 800, 127, 972, 449?

You can find a detailed procedure to find GCD of 800, 127, 972, 449 on our page.

3. How to find GCD of 800, 127, 972, 449 on a calculator?

You can find the GCD of 800, 127, 972, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.