GCD of 191, 314, 30, 988 Calculator

Given Input numbers are 191, 314, 30, 988

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 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 191, 314, 30, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 191, 314, 30, 988 is 1.

Therefore, GCD of numbers 191, 314, 30, 988 is 1

Given Input Data is 191, 314, 30, 988

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

Prime Factorization of 191 is 191

Prime Factorization of 314 is 2 x 157

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 988 is 2 x 2 x 13 x 19

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, 314) = 59974

GCD(191, 314) = ( 191 x 314 ) / 59974

GCD(191, 314) = 59974 / 59974

GCD(191, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 191, 314, 30, 988 is 1

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• GCD of 515, 471, 20, 437
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1. What is the GCD of 191, 314, 30, 988?

GCD of 191, 314, 30, 988 is 1

2. Where do I get the detailed procedure to find GCD of 191, 314, 30, 988?

You can find a detailed procedure to find GCD of 191, 314, 30, 988 on our page.

3. How to find GCD of 191, 314, 30, 988 on a calculator?

You can find the GCD of 191, 314, 30, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.