GCD of 270, 786, 606, 582 Calculator

Given Input numbers are 270, 786, 606, 582

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 582

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

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

Greatest Common Divisior

We found the divisors of 270, 786, 606, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 786, 606, 582 is 6.

Therefore, GCD of numbers 270, 786, 606, 582 is 6

Given Input Data is 270, 786, 606, 582

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 582 is 2 x 3 x 97

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(270, 786) = 35370

GCD(270, 786) = ( 270 x 786 ) / 35370

GCD(270, 786) = 212220 / 35370

GCD(270, 786) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 606

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

LCM(6, 606) = 606

GCD(6, 606) = ( 6 x 606 ) / 606

GCD(6, 606) = 3636 / 606

GCD(6, 606) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 582

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

LCM(6, 582) = 582

GCD(6, 582) = ( 6 x 582 ) / 582

GCD(6, 582) = 3492 / 582

GCD(6, 582) = 6

GCD of 270, 786, 606, 582 is 6

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1. What is the GCD of 270, 786, 606, 582?

GCD of 270, 786, 606, 582 is 6

2. Where do I get the detailed procedure to find GCD of 270, 786, 606, 582?

You can find a detailed procedure to find GCD of 270, 786, 606, 582 on our page.

3. How to find GCD of 270, 786, 606, 582 on a calculator?

You can find the GCD of 270, 786, 606, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.