GCD of 517, 705, 108, 925 Calculator

Given Input numbers are 517, 705, 108, 925

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 517, 705, 108, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 705, 108, 925 is 1.

Therefore, GCD of numbers 517, 705, 108, 925 is 1

Given Input Data is 517, 705, 108, 925

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 925 is 5 x 5 x 37

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, 705) = 7755

GCD(517, 705) = ( 517 x 705 ) / 7755

GCD(517, 705) = 364485 / 7755

GCD(517, 705) = 47

Step2:

Here we consider the GCD from the above i.e. 47 as first number and the next as 108

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

LCM(47, 108) = 5076

GCD(47, 108) = ( 47 x 108 ) / 5076

GCD(47, 108) = 5076 / 5076

GCD(47, 108) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 925

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

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

GCD(1, 925) = 925 / 925

GCD(1, 925) = 1

GCD of 517, 705, 108, 925 is 1

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• GCD of 790, 682, 523, 652
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1. What is the GCD of 517, 705, 108, 925?

GCD of 517, 705, 108, 925 is 1

2. Where do I get the detailed procedure to find GCD of 517, 705, 108, 925?

You can find a detailed procedure to find GCD of 517, 705, 108, 925 on our page.

3. How to find GCD of 517, 705, 108, 925 on a calculator?

You can find the GCD of 517, 705, 108, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.