GCD of 655, 524, 15, 645 Calculator

Given Input numbers are 655, 524, 15, 645

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

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 645

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

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

Greatest Common Divisior

We found the divisors of 655, 524, 15, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 655, 524, 15, 645 is 1.

Therefore, GCD of numbers 655, 524, 15, 645 is 1

Given Input Data is 655, 524, 15, 645

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

Prime Factorization of 655 is 5 x 131

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 15 is 3 x 5

Prime Factorization of 645 is 3 x 5 x 43

The above numbers do not have any common prime factor. So GCD is 1

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(655, 524) = 2620

GCD(655, 524) = ( 655 x 524 ) / 2620

GCD(655, 524) = 343220 / 2620

GCD(655, 524) = 131

Step2:

Here we consider the GCD from the above i.e. 131 as first number and the next as 15

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

LCM(131, 15) = 1965

GCD(131, 15) = ( 131 x 15 ) / 1965

GCD(131, 15) = 1965 / 1965

GCD(131, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 655, 524, 15, 645 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 943, 86, 280
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• GCD of 771, 192, 48, 924

1. What is the GCD of 655, 524, 15, 645?

GCD of 655, 524, 15, 645 is 1

2. Where do I get the detailed procedure to find GCD of 655, 524, 15, 645?

You can find a detailed procedure to find GCD of 655, 524, 15, 645 on our page.

3. How to find GCD of 655, 524, 15, 645 on a calculator?

You can find the GCD of 655, 524, 15, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.