GCD of 591, 194, 953, 114 Calculator

Given Input numbers are 591, 194, 953, 114

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

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

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 591, 194, 953, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 591, 194, 953, 114 is 1.

Therefore, GCD of numbers 591, 194, 953, 114 is 1

Given Input Data is 591, 194, 953, 114

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

Prime Factorization of 591 is 3 x 197

Prime Factorization of 194 is 2 x 97

Prime Factorization of 953 is 953

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(591, 194) = 114654

GCD(591, 194) = ( 591 x 194 ) / 114654

GCD(591, 194) = 114654 / 114654

GCD(591, 194) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 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 591, 194, 953, 114 is 1

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1. What is the GCD of 591, 194, 953, 114?

GCD of 591, 194, 953, 114 is 1

2. Where do I get the detailed procedure to find GCD of 591, 194, 953, 114?

You can find a detailed procedure to find GCD of 591, 194, 953, 114 on our page.

3. How to find GCD of 591, 194, 953, 114 on a calculator?

You can find the GCD of 591, 194, 953, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.