GCD of 545, 425, 645, 195 Calculator

Given Input numbers are 545, 425, 645, 195

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

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

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 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Greatest Common Divisior

We found the divisors of 545, 425, 645, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 425, 645, 195 is 5.

Therefore, GCD of numbers 545, 425, 645, 195 is 5

Given Input Data is 545, 425, 645, 195

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

Prime Factorization of 545 is 5 x 109

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 195 is 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(545, 425) = 46325

GCD(545, 425) = ( 545 x 425 ) / 46325

GCD(545, 425) = 231625 / 46325

GCD(545, 425) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 645

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

LCM(5, 645) = 645

GCD(5, 645) = ( 5 x 645 ) / 645

GCD(5, 645) = 3225 / 645

GCD(5, 645) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 195

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

LCM(5, 195) = 195

GCD(5, 195) = ( 5 x 195 ) / 195

GCD(5, 195) = 975 / 195

GCD(5, 195) = 5

GCD of 545, 425, 645, 195 is 5

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1. What is the GCD of 545, 425, 645, 195?

GCD of 545, 425, 645, 195 is 5

2. Where do I get the detailed procedure to find GCD of 545, 425, 645, 195?

You can find a detailed procedure to find GCD of 545, 425, 645, 195 on our page.

3. How to find GCD of 545, 425, 645, 195 on a calculator?

You can find the GCD of 545, 425, 645, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.