GCD of 645, 525, 995, 390 Calculator

Given Input numbers are 645, 525, 995, 390

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 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 645, 525, 995, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 525, 995, 390 is 5.

Therefore, GCD of numbers 645, 525, 995, 390 is 5

Given Input Data is 645, 525, 995, 390

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 525 is 3 x 5 x 5 x 7

Prime Factorization of 995 is 5 x 199

Prime Factorization of 390 is 2 x 3 x 5 x 13

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, 525) = 22575

GCD(645, 525) = ( 645 x 525 ) / 22575

GCD(645, 525) = 338625 / 22575

GCD(645, 525) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 995

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

LCM(15, 995) = 2985

GCD(15, 995) = ( 15 x 995 ) / 2985

GCD(15, 995) = 14925 / 2985

GCD(15, 995) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 390

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

LCM(5, 390) = 390

GCD(5, 390) = ( 5 x 390 ) / 390

GCD(5, 390) = 1950 / 390

GCD(5, 390) = 5

GCD of 645, 525, 995, 390 is 5

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1. What is the GCD of 645, 525, 995, 390?

GCD of 645, 525, 995, 390 is 5

2. Where do I get the detailed procedure to find GCD of 645, 525, 995, 390?

You can find a detailed procedure to find GCD of 645, 525, 995, 390 on our page.

3. How to find GCD of 645, 525, 995, 390 on a calculator?

You can find the GCD of 645, 525, 995, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.