GCD of 560, 570, 265 Calculator

Given Input numbers are 560, 570, 265

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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

Greatest Common Divisior

We found the divisors of 560, 570, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 570, 265 is 5.

Therefore, GCD of numbers 560, 570, 265 is 5

Given Input Data is 560, 570, 265

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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

Prime Factorization of 265 is 5 x 53

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(560, 570) = 31920

GCD(560, 570) = ( 560 x 570 ) / 31920

GCD(560, 570) = 319200 / 31920

GCD(560, 570) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 265

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

LCM(10, 265) = 530

GCD(10, 265) = ( 10 x 265 ) / 530

GCD(10, 265) = 2650 / 530

GCD(10, 265) = 5

GCD of 560, 570, 265 is 5

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1. What is the GCD of 560, 570, 265?

GCD of 560, 570, 265 is 5

2. Where do I get the detailed procedure to find GCD of 560, 570, 265?

You can find a detailed procedure to find GCD of 560, 570, 265 on our page.

3. How to find GCD of 560, 570, 265 on a calculator?

You can find the GCD of 560, 570, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.