GCD of 148, 529, 460, 598 Calculator

Given Input numbers are 148, 529, 460, 598

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 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 148, 529, 460, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 529, 460, 598 is 1.

Therefore, GCD of numbers 148, 529, 460, 598 is 1

Given Input Data is 148, 529, 460, 598

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 529 is 23 x 23

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 598 is 2 x 13 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(148, 529) = 78292

GCD(148, 529) = ( 148 x 529 ) / 78292

GCD(148, 529) = 78292 / 78292

GCD(148, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 148, 529, 460, 598 is 1

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1. What is the GCD of 148, 529, 460, 598?

GCD of 148, 529, 460, 598 is 1

2. Where do I get the detailed procedure to find GCD of 148, 529, 460, 598?

You can find a detailed procedure to find GCD of 148, 529, 460, 598 on our page.

3. How to find GCD of 148, 529, 460, 598 on a calculator?

You can find the GCD of 148, 529, 460, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.