GCD of 148, 496, 297, 583 Calculator

Given Input numbers are 148, 496, 297, 583

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 148, 496, 297, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 496, 297, 583 is 1.

Therefore, GCD of numbers 148, 496, 297, 583 is 1

Given Input Data is 148, 496, 297, 583

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 583 is 11 x 53

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(148, 496) = 18352

GCD(148, 496) = ( 148 x 496 ) / 18352

GCD(148, 496) = 73408 / 18352

GCD(148, 496) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 297

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

LCM(4, 297) = 1188

GCD(4, 297) = ( 4 x 297 ) / 1188

GCD(4, 297) = 1188 / 1188

GCD(4, 297) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

GCD of 148, 496, 297, 583 is 1

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1. What is the GCD of 148, 496, 297, 583?

GCD of 148, 496, 297, 583 is 1

2. Where do I get the detailed procedure to find GCD of 148, 496, 297, 583?

You can find a detailed procedure to find GCD of 148, 496, 297, 583 on our page.

3. How to find GCD of 148, 496, 297, 583 on a calculator?

You can find the GCD of 148, 496, 297, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.