GCD of 492, 909, 763, 835 Calculator

Given Input numbers are 492, 909, 763, 835

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

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 909

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

1, 3, 9, 101, 303, 909

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Greatest Common Divisior

We found the divisors of 492, 909, 763, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 909, 763, 835 is 1.

Therefore, GCD of numbers 492, 909, 763, 835 is 1

Given Input Data is 492, 909, 763, 835

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

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 763 is 7 x 109

Prime Factorization of 835 is 5 x 167

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(492, 909) = 149076

GCD(492, 909) = ( 492 x 909 ) / 149076

GCD(492, 909) = 447228 / 149076

GCD(492, 909) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 763

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

LCM(3, 763) = 2289

GCD(3, 763) = ( 3 x 763 ) / 2289

GCD(3, 763) = 2289 / 2289

GCD(3, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 835

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

LCM(1, 835) = 835

GCD(1, 835) = ( 1 x 835 ) / 835

GCD(1, 835) = 835 / 835

GCD(1, 835) = 1

GCD of 492, 909, 763, 835 is 1

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1. What is the GCD of 492, 909, 763, 835?

GCD of 492, 909, 763, 835 is 1

2. Where do I get the detailed procedure to find GCD of 492, 909, 763, 835?

You can find a detailed procedure to find GCD of 492, 909, 763, 835 on our page.

3. How to find GCD of 492, 909, 763, 835 on a calculator?

You can find the GCD of 492, 909, 763, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.