GCD of 31, 794, 148, 176 Calculator

Given Input numbers are 31, 794, 148, 176

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Greatest Common Divisior

We found the divisors of 31, 794, 148, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 794, 148, 176 is 1.

Therefore, GCD of numbers 31, 794, 148, 176 is 1

Given Input Data is 31, 794, 148, 176

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

Prime Factorization of 31 is 31

Prime Factorization of 794 is 2 x 397

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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(31, 794) = 24614

GCD(31, 794) = ( 31 x 794 ) / 24614

GCD(31, 794) = 24614 / 24614

GCD(31, 794) = 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 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

GCD of 31, 794, 148, 176 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 887, 246, 784
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• GCD of 90, 375, 909, 864

1. What is the GCD of 31, 794, 148, 176?

GCD of 31, 794, 148, 176 is 1

2. Where do I get the detailed procedure to find GCD of 31, 794, 148, 176?

You can find a detailed procedure to find GCD of 31, 794, 148, 176 on our page.

3. How to find GCD of 31, 794, 148, 176 on a calculator?

You can find the GCD of 31, 794, 148, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.