GCD of 517, 358, 675, 540 Calculator

Given Input numbers are 517, 358, 675, 540

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

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 517, 358, 675, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 358, 675, 540 is 1.

Therefore, GCD of numbers 517, 358, 675, 540 is 1

Given Input Data is 517, 358, 675, 540

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 358 is 2 x 179

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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(517, 358) = 185086

GCD(517, 358) = ( 517 x 358 ) / 185086

GCD(517, 358) = 185086 / 185086

GCD(517, 358) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

GCD of 517, 358, 675, 540 is 1

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• GCD of 283, 272, 501, 510
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1. What is the GCD of 517, 358, 675, 540?

GCD of 517, 358, 675, 540 is 1

2. Where do I get the detailed procedure to find GCD of 517, 358, 675, 540?

You can find a detailed procedure to find GCD of 517, 358, 675, 540 on our page.

3. How to find GCD of 517, 358, 675, 540 on a calculator?

You can find the GCD of 517, 358, 675, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.