GCD of 570, 147, 75, 108 Calculator

Given Input numbers are 570, 147, 75, 108

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 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 570, 147, 75, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 147, 75, 108 is 3.

Therefore, GCD of numbers 570, 147, 75, 108 is 3

Given Input Data is 570, 147, 75, 108

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 147 is 3 x 7 x 7

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 147) = 27930

GCD(570, 147) = ( 570 x 147 ) / 27930

GCD(570, 147) = 83790 / 27930

GCD(570, 147) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 75

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

LCM(3, 75) = 75

GCD(3, 75) = ( 3 x 75 ) / 75

GCD(3, 75) = 225 / 75

GCD(3, 75) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 108

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

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

GCD(3, 108) = 324 / 108

GCD(3, 108) = 3

GCD of 570, 147, 75, 108 is 3

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1. What is the GCD of 570, 147, 75, 108?

GCD of 570, 147, 75, 108 is 3

2. Where do I get the detailed procedure to find GCD of 570, 147, 75, 108?

You can find a detailed procedure to find GCD of 570, 147, 75, 108 on our page.

3. How to find GCD of 570, 147, 75, 108 on a calculator?

You can find the GCD of 570, 147, 75, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.