GCD of 270, 846, 664 Calculator

Given Input numbers are 270, 846, 664

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 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 270, 846, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 846, 664 is 2.

Therefore, GCD of numbers 270, 846, 664 is 2

Given Input Data is 270, 846, 664

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 846 is 2 x 3 x 3 x 47

Prime Factorization of 664 is 2 x 2 x 2 x 83

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 846) = 12690

GCD(270, 846) = ( 270 x 846 ) / 12690

GCD(270, 846) = 228420 / 12690

GCD(270, 846) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 664

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

LCM(18, 664) = 5976

GCD(18, 664) = ( 18 x 664 ) / 5976

GCD(18, 664) = 11952 / 5976

GCD(18, 664) = 2

GCD of 270, 846, 664 is 2

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1. What is the GCD of 270, 846, 664?

GCD of 270, 846, 664 is 2

2. Where do I get the detailed procedure to find GCD of 270, 846, 664?

You can find a detailed procedure to find GCD of 270, 846, 664 on our page.

3. How to find GCD of 270, 846, 664 on a calculator?

You can find the GCD of 270, 846, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.