GCD of 191, 768, 31, 958 Calculator

Given Input numbers are 191, 768, 31, 958

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

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 31

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

1, 31

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 191, 768, 31, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 191, 768, 31, 958 is 1.

Therefore, GCD of numbers 191, 768, 31, 958 is 1

Given Input Data is 191, 768, 31, 958

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

Prime Factorization of 191 is 191

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 31 is 31

Prime Factorization of 958 is 2 x 479

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(191, 768) = 146688

GCD(191, 768) = ( 191 x 768 ) / 146688

GCD(191, 768) = 146688 / 146688

GCD(191, 768) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 191, 768, 31, 958 is 1

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1. What is the GCD of 191, 768, 31, 958?

GCD of 191, 768, 31, 958 is 1

2. Where do I get the detailed procedure to find GCD of 191, 768, 31, 958?

You can find a detailed procedure to find GCD of 191, 768, 31, 958 on our page.

3. How to find GCD of 191, 768, 31, 958 on a calculator?

You can find the GCD of 191, 768, 31, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.