GCD of 517, 742, 925, 386 Calculator

Given Input numbers are 517, 742, 925, 386

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 925

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

1, 5, 25, 37, 185, 925

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Greatest Common Divisior

We found the divisors of 517, 742, 925, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 742, 925, 386 is 1.

Therefore, GCD of numbers 517, 742, 925, 386 is 1

Given Input Data is 517, 742, 925, 386

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 386 is 2 x 193

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, 742) = 383614

GCD(517, 742) = ( 517 x 742 ) / 383614

GCD(517, 742) = 383614 / 383614

GCD(517, 742) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 386

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

LCM(1, 386) = 386

GCD(1, 386) = ( 1 x 386 ) / 386

GCD(1, 386) = 386 / 386

GCD(1, 386) = 1

GCD of 517, 742, 925, 386 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 662, 121, 886
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• GCD of 911, 389, 928, 230
• GCD of 154, 832, 819, 238
• GCD of 672, 705, 386, 421

1. What is the GCD of 517, 742, 925, 386?

GCD of 517, 742, 925, 386 is 1

2. Where do I get the detailed procedure to find GCD of 517, 742, 925, 386?

You can find a detailed procedure to find GCD of 517, 742, 925, 386 on our page.

3. How to find GCD of 517, 742, 925, 386 on a calculator?

You can find the GCD of 517, 742, 925, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.