GCD of 492, 650, 471, 825 Calculator

Given Input numbers are 492, 650, 471, 825

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 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 492, 650, 471, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 650, 471, 825 is 1.

Therefore, GCD of numbers 492, 650, 471, 825 is 1

Given Input Data is 492, 650, 471, 825

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 650 is 2 x 5 x 5 x 13

Prime Factorization of 471 is 3 x 157

Prime Factorization of 825 is 3 x 5 x 5 x 11

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, 650) = 159900

GCD(492, 650) = ( 492 x 650 ) / 159900

GCD(492, 650) = 319800 / 159900

GCD(492, 650) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 471

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

LCM(2, 471) = 942

GCD(2, 471) = ( 2 x 471 ) / 942

GCD(2, 471) = 942 / 942

GCD(2, 471) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 492, 650, 471, 825 is 1

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1. What is the GCD of 492, 650, 471, 825?

GCD of 492, 650, 471, 825 is 1

2. Where do I get the detailed procedure to find GCD of 492, 650, 471, 825?

You can find a detailed procedure to find GCD of 492, 650, 471, 825 on our page.

3. How to find GCD of 492, 650, 471, 825 on a calculator?

You can find the GCD of 492, 650, 471, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.