GCD of 789, 582, 45, 699 Calculator

Given Input numbers are 789, 582, 45, 699

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 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 789, 582, 45, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 582, 45, 699 is 3.

Therefore, GCD of numbers 789, 582, 45, 699 is 3

Given Input Data is 789, 582, 45, 699

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 699 is 3 x 233

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, 582) = 153066

GCD(789, 582) = ( 789 x 582 ) / 153066

GCD(789, 582) = 459198 / 153066

GCD(789, 582) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 45

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

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

GCD(3, 45) = 135 / 45

GCD(3, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 699

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

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

GCD(3, 699) = 2097 / 699

GCD(3, 699) = 3

GCD of 789, 582, 45, 699 is 3

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1. What is the GCD of 789, 582, 45, 699?

GCD of 789, 582, 45, 699 is 3

2. Where do I get the detailed procedure to find GCD of 789, 582, 45, 699?

You can find a detailed procedure to find GCD of 789, 582, 45, 699 on our page.

3. How to find GCD of 789, 582, 45, 699 on a calculator?

You can find the GCD of 789, 582, 45, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.