GCD of 525, 492, 731, 909 Calculator

Given Input numbers are 525, 492, 731, 909

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

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 525, 492, 731, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 492, 731, 909 is 1.

Therefore, GCD of numbers 525, 492, 731, 909 is 1

Given Input Data is 525, 492, 731, 909

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

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 731 is 17 x 43

Prime Factorization of 909 is 3 x 3 x 101

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(525, 492) = 86100

GCD(525, 492) = ( 525 x 492 ) / 86100

GCD(525, 492) = 258300 / 86100

GCD(525, 492) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 731

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

LCM(3, 731) = 2193

GCD(3, 731) = ( 3 x 731 ) / 2193

GCD(3, 731) = 2193 / 2193

GCD(3, 731) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 525, 492, 731, 909 is 1

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1. What is the GCD of 525, 492, 731, 909?

GCD of 525, 492, 731, 909 is 1

2. Where do I get the detailed procedure to find GCD of 525, 492, 731, 909?

You can find a detailed procedure to find GCD of 525, 492, 731, 909 on our page.

3. How to find GCD of 525, 492, 731, 909 on a calculator?

You can find the GCD of 525, 492, 731, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.