GCD of 148, 738, 531, 899 Calculator

Given Input numbers are 148, 738, 531, 899

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 148, 738, 531, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 738, 531, 899 is 1.

Therefore, GCD of numbers 148, 738, 531, 899 is 1

Given Input Data is 148, 738, 531, 899

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 738 is 2 x 3 x 3 x 41

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 899 is 29 x 31

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, 738) = 54612

GCD(148, 738) = ( 148 x 738 ) / 54612

GCD(148, 738) = 109224 / 54612

GCD(148, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 531

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

LCM(2, 531) = 1062

GCD(2, 531) = ( 2 x 531 ) / 1062

GCD(2, 531) = 1062 / 1062

GCD(2, 531) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 148, 738, 531, 899 is 1

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1. What is the GCD of 148, 738, 531, 899?

GCD of 148, 738, 531, 899 is 1

2. Where do I get the detailed procedure to find GCD of 148, 738, 531, 899?

You can find a detailed procedure to find GCD of 148, 738, 531, 899 on our page.

3. How to find GCD of 148, 738, 531, 899 on a calculator?

You can find the GCD of 148, 738, 531, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.