GCD of 917, 809, 42, 525 Calculator

Given Input numbers are 917, 809, 42, 525

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 917, 809, 42, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 809, 42, 525 is 1.

Therefore, GCD of numbers 917, 809, 42, 525 is 1

Given Input Data is 917, 809, 42, 525

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 809 is 809

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(917, 809) = 741853

GCD(917, 809) = ( 917 x 809 ) / 741853

GCD(917, 809) = 741853 / 741853

GCD(917, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

GCD of 917, 809, 42, 525 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 290, 79, 746
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• GCD of 202, 821, 20, 607
• GCD of 706, 173, 43, 600
• GCD of 927, 164, 86, 841

1. What is the GCD of 917, 809, 42, 525?

GCD of 917, 809, 42, 525 is 1

2. Where do I get the detailed procedure to find GCD of 917, 809, 42, 525?

You can find a detailed procedure to find GCD of 917, 809, 42, 525 on our page.

3. How to find GCD of 917, 809, 42, 525 on a calculator?

You can find the GCD of 917, 809, 42, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.