GCD of 645, 190, 225, 575 Calculator

Given Input numbers are 645, 190, 225, 575

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

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 645, 190, 225, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 190, 225, 575 is 5.

Therefore, GCD of numbers 645, 190, 225, 575 is 5

Given Input Data is 645, 190, 225, 575

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

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 575 is 5 x 5 x 23

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(645, 190) = 24510

GCD(645, 190) = ( 645 x 190 ) / 24510

GCD(645, 190) = 122550 / 24510

GCD(645, 190) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 225

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

LCM(5, 225) = 225

GCD(5, 225) = ( 5 x 225 ) / 225

GCD(5, 225) = 1125 / 225

GCD(5, 225) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 575

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

LCM(5, 575) = 575

GCD(5, 575) = ( 5 x 575 ) / 575

GCD(5, 575) = 2875 / 575

GCD(5, 575) = 5

GCD of 645, 190, 225, 575 is 5

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• GCD of 296, 548, 420, 505
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• GCD of 598, 860, 646, 581

1. What is the GCD of 645, 190, 225, 575?

GCD of 645, 190, 225, 575 is 5

2. Where do I get the detailed procedure to find GCD of 645, 190, 225, 575?

You can find a detailed procedure to find GCD of 645, 190, 225, 575 on our page.

3. How to find GCD of 645, 190, 225, 575 on a calculator?

You can find the GCD of 645, 190, 225, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.