GCD of 15, 515, 715, 645 Calculator

Given Input numbers are 15, 515, 715, 645

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

Divisors of 15

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

1, 3, 5, 15

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

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 15, 515, 715, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 515, 715, 645 is 5.

Therefore, GCD of numbers 15, 515, 715, 645 is 5

Given Input Data is 15, 515, 715, 645

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 515 is 5 x 103

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 645 is 3 x 5 x 43

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(15, 515) = 1545

GCD(15, 515) = ( 15 x 515 ) / 1545

GCD(15, 515) = 7725 / 1545

GCD(15, 515) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 715

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

LCM(5, 715) = 715

GCD(5, 715) = ( 5 x 715 ) / 715

GCD(5, 715) = 3575 / 715

GCD(5, 715) = 5

Step3:

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

GCD of 15, 515, 715, 645 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 969, 838, 916
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• GCD of 85, 107, 306, 827
• GCD of 45, 413, 969, 840

1. What is the GCD of 15, 515, 715, 645?

GCD of 15, 515, 715, 645 is 5

2. Where do I get the detailed procedure to find GCD of 15, 515, 715, 645?

You can find a detailed procedure to find GCD of 15, 515, 715, 645 on our page.

3. How to find GCD of 15, 515, 715, 645 on a calculator?

You can find the GCD of 15, 515, 715, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.