GCD of 497, 898, 488, 736 Calculator

Given Input numbers are 497, 898, 488, 736

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 898

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

1, 2, 449, 898

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 497, 898, 488, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 898, 488, 736 is 1.

Therefore, GCD of numbers 497, 898, 488, 736 is 1

Given Input Data is 497, 898, 488, 736

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 898 is 2 x 449

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(497, 898) = 446306

GCD(497, 898) = ( 497 x 898 ) / 446306

GCD(497, 898) = 446306 / 446306

GCD(497, 898) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 497, 898, 488, 736 is 1

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1. What is the GCD of 497, 898, 488, 736?

GCD of 497, 898, 488, 736 is 1

2. Where do I get the detailed procedure to find GCD of 497, 898, 488, 736?

You can find a detailed procedure to find GCD of 497, 898, 488, 736 on our page.

3. How to find GCD of 497, 898, 488, 736 on a calculator?

You can find the GCD of 497, 898, 488, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.