GCD of 789, 588, 57, 453 Calculator

Given Input numbers are 789, 588, 57, 453

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

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

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 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 789, 588, 57, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 588, 57, 453 is 3.

Therefore, GCD of numbers 789, 588, 57, 453 is 3

Given Input Data is 789, 588, 57, 453

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

Prime Factorization of 789 is 3 x 263

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 453 is 3 x 151

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(789, 588) = 154644

GCD(789, 588) = ( 789 x 588 ) / 154644

GCD(789, 588) = 463932 / 154644

GCD(789, 588) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 57

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

LCM(3, 57) = 57

GCD(3, 57) = ( 3 x 57 ) / 57

GCD(3, 57) = 171 / 57

GCD(3, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 453

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

LCM(3, 453) = 453

GCD(3, 453) = ( 3 x 453 ) / 453

GCD(3, 453) = 1359 / 453

GCD(3, 453) = 3

GCD of 789, 588, 57, 453 is 3

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• GCD of 330, 360, 68, 172
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1. What is the GCD of 789, 588, 57, 453?

GCD of 789, 588, 57, 453 is 3

2. Where do I get the detailed procedure to find GCD of 789, 588, 57, 453?

You can find a detailed procedure to find GCD of 789, 588, 57, 453 on our page.

3. How to find GCD of 789, 588, 57, 453 on a calculator?

You can find the GCD of 789, 588, 57, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.