GCD of 397, 491, 56, 114 Calculator

Given Input numbers are 397, 491, 56, 114

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

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 397, 491, 56, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 491, 56, 114 is 1.

Therefore, GCD of numbers 397, 491, 56, 114 is 1

Given Input Data is 397, 491, 56, 114

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

Prime Factorization of 397 is 397

Prime Factorization of 491 is 491

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 114 is 2 x 3 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(397, 491) = 194927

GCD(397, 491) = ( 397 x 491 ) / 194927

GCD(397, 491) = 194927 / 194927

GCD(397, 491) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 397, 491, 56, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 997, 40, 547
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• GCD of 853, 317, 40, 828
• GCD of 690, 922, 67, 218

1. What is the GCD of 397, 491, 56, 114?

GCD of 397, 491, 56, 114 is 1

2. Where do I get the detailed procedure to find GCD of 397, 491, 56, 114?

You can find a detailed procedure to find GCD of 397, 491, 56, 114 on our page.

3. How to find GCD of 397, 491, 56, 114 on a calculator?

You can find the GCD of 397, 491, 56, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.