GCD of 239, 748, 148, 431 Calculator

Given Input numbers are 239, 748, 148, 431

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

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 239, 748, 148, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 239, 748, 148, 431 is 1.

Therefore, GCD of numbers 239, 748, 148, 431 is 1

Given Input Data is 239, 748, 148, 431

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

Prime Factorization of 239 is 239

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 431 is 431

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(239, 748) = 178772

GCD(239, 748) = ( 239 x 748 ) / 178772

GCD(239, 748) = 178772 / 178772

GCD(239, 748) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 239, 748, 148, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 379, 558, 462
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• GCD of 527, 981, 188, 258

1. What is the GCD of 239, 748, 148, 431?

GCD of 239, 748, 148, 431 is 1

2. Where do I get the detailed procedure to find GCD of 239, 748, 148, 431?

You can find a detailed procedure to find GCD of 239, 748, 148, 431 on our page.

3. How to find GCD of 239, 748, 148, 431 on a calculator?

You can find the GCD of 239, 748, 148, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.