GCD of 570, 265, 270, 160 Calculator

Given Input numbers are 570, 265, 270, 160

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

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

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 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 570, 265, 270, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 265, 270, 160 is 5.

Therefore, GCD of numbers 570, 265, 270, 160 is 5

Given Input Data is 570, 265, 270, 160

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

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 265 is 5 x 53

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(570, 265) = 30210

GCD(570, 265) = ( 570 x 265 ) / 30210

GCD(570, 265) = 151050 / 30210

GCD(570, 265) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 270

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

LCM(5, 270) = 270

GCD(5, 270) = ( 5 x 270 ) / 270

GCD(5, 270) = 1350 / 270

GCD(5, 270) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 160

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

LCM(5, 160) = 160

GCD(5, 160) = ( 5 x 160 ) / 160

GCD(5, 160) = 800 / 160

GCD(5, 160) = 5

GCD of 570, 265, 270, 160 is 5

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• GCD of 128, 795, 463, 505

1. What is the GCD of 570, 265, 270, 160?

GCD of 570, 265, 270, 160 is 5

2. Where do I get the detailed procedure to find GCD of 570, 265, 270, 160?

You can find a detailed procedure to find GCD of 570, 265, 270, 160 on our page.

3. How to find GCD of 570, 265, 270, 160 on a calculator?

You can find the GCD of 570, 265, 270, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.