GCD of 126, 449, 722, 898 Calculator

Given Input numbers are 126, 449, 722, 898

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 449

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

1, 449

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 126, 449, 722, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 449, 722, 898 is 1.

Therefore, GCD of numbers 126, 449, 722, 898 is 1

Given Input Data is 126, 449, 722, 898

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 449 is 449

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 898 is 2 x 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(126, 449) = 56574

GCD(126, 449) = ( 126 x 449 ) / 56574

GCD(126, 449) = 56574 / 56574

GCD(126, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 126, 449, 722, 898 is 1

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1. What is the GCD of 126, 449, 722, 898?

GCD of 126, 449, 722, 898 is 1

2. Where do I get the detailed procedure to find GCD of 126, 449, 722, 898?

You can find a detailed procedure to find GCD of 126, 449, 722, 898 on our page.

3. How to find GCD of 126, 449, 722, 898 on a calculator?

You can find the GCD of 126, 449, 722, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.