GCD of 675, 672, 570 Calculator

Given Input numbers are 675, 672, 570

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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

Greatest Common Divisior

We found the divisors of 675, 672, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 672, 570 is 3.

Therefore, GCD of numbers 675, 672, 570 is 3

Given Input Data is 675, 672, 570

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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

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(675, 672) = 151200

GCD(675, 672) = ( 675 x 672 ) / 151200

GCD(675, 672) = 453600 / 151200

GCD(675, 672) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 570

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

LCM(3, 570) = 570

GCD(3, 570) = ( 3 x 570 ) / 570

GCD(3, 570) = 1710 / 570

GCD(3, 570) = 3

GCD of 675, 672, 570 is 3

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1. What is the GCD of 675, 672, 570?

GCD of 675, 672, 570 is 3

2. Where do I get the detailed procedure to find GCD of 675, 672, 570?

You can find a detailed procedure to find GCD of 675, 672, 570 on our page.

3. How to find GCD of 675, 672, 570 on a calculator?

You can find the GCD of 675, 672, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.