GCD of 449, 498, 740 Calculator

Given Input numbers are 449, 498, 740

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

Divisors of 449

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

1, 449

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 449, 498, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 498, 740 is 1.

Therefore, GCD of numbers 449, 498, 740 is 1

Given Input Data is 449, 498, 740

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

Prime Factorization of 449 is 449

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(449, 498) = 223602

GCD(449, 498) = ( 449 x 498 ) / 223602

GCD(449, 498) = 223602 / 223602

GCD(449, 498) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 449, 498, 740 is 1

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1. What is the GCD of 449, 498, 740?

GCD of 449, 498, 740 is 1

2. Where do I get the detailed procedure to find GCD of 449, 498, 740?

You can find a detailed procedure to find GCD of 449, 498, 740 on our page.

3. How to find GCD of 449, 498, 740 on a calculator?

You can find the GCD of 449, 498, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.