GCD of 270, 656, 540, 610 Calculator

Given Input numbers are 270, 656, 540, 610

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 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Greatest Common Divisior

We found the divisors of 270, 656, 540, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 656, 540, 610 is 2.

Therefore, GCD of numbers 270, 656, 540, 610 is 2

Given Input Data is 270, 656, 540, 610

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 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 610 is 2 x 5 x 61

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, 656) = 88560

GCD(270, 656) = ( 270 x 656 ) / 88560

GCD(270, 656) = 177120 / 88560

GCD(270, 656) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 540

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

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

GCD(2, 540) = 1080 / 540

GCD(2, 540) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 610

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

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

GCD(2, 610) = 1220 / 610

GCD(2, 610) = 2

GCD of 270, 656, 540, 610 is 2

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1. What is the GCD of 270, 656, 540, 610?

GCD of 270, 656, 540, 610 is 2

2. Where do I get the detailed procedure to find GCD of 270, 656, 540, 610?

You can find a detailed procedure to find GCD of 270, 656, 540, 610 on our page.

3. How to find GCD of 270, 656, 540, 610 on a calculator?

You can find the GCD of 270, 656, 540, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.