GCD of 570, 546, 352 Calculator

Given Input numbers are 570, 546, 352

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 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 570, 546, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 546, 352 is 2.

Therefore, GCD of numbers 570, 546, 352 is 2

Given Input Data is 570, 546, 352

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 546 is 2 x 3 x 7 x 13

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(570, 546) = 51870

GCD(570, 546) = ( 570 x 546 ) / 51870

GCD(570, 546) = 311220 / 51870

GCD(570, 546) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 352

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

LCM(6, 352) = 1056

GCD(6, 352) = ( 6 x 352 ) / 1056

GCD(6, 352) = 2112 / 1056

GCD(6, 352) = 2

GCD of 570, 546, 352 is 2

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1. What is the GCD of 570, 546, 352?

GCD of 570, 546, 352 is 2

2. Where do I get the detailed procedure to find GCD of 570, 546, 352?

You can find a detailed procedure to find GCD of 570, 546, 352 on our page.

3. How to find GCD of 570, 546, 352 on a calculator?

You can find the GCD of 570, 546, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.