GCD of 588, 114, 23, 773 Calculator

Given Input numbers are 588, 114, 23, 773

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 114

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

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Greatest Common Divisior

We found the divisors of 588, 114, 23, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 114, 23, 773 is 1.

Therefore, GCD of numbers 588, 114, 23, 773 is 1

Given Input Data is 588, 114, 23, 773

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 23 is 23

Prime Factorization of 773 is 773

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(588, 114) = 11172

GCD(588, 114) = ( 588 x 114 ) / 11172

GCD(588, 114) = 67032 / 11172

GCD(588, 114) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 23

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

LCM(6, 23) = 138

GCD(6, 23) = ( 6 x 23 ) / 138

GCD(6, 23) = 138 / 138

GCD(6, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 773

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

LCM(1, 773) = 773

GCD(1, 773) = ( 1 x 773 ) / 773

GCD(1, 773) = 773 / 773

GCD(1, 773) = 1

GCD of 588, 114, 23, 773 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 230, 91, 567
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• GCD of 506, 498, 96, 377
• GCD of 847, 161, 52, 947
• GCD of 998, 454, 31, 816

1. What is the GCD of 588, 114, 23, 773?

GCD of 588, 114, 23, 773 is 1

2. Where do I get the detailed procedure to find GCD of 588, 114, 23, 773?

You can find a detailed procedure to find GCD of 588, 114, 23, 773 on our page.

3. How to find GCD of 588, 114, 23, 773 on a calculator?

You can find the GCD of 588, 114, 23, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.