GCD of 492, 799, 782, 460 Calculator

Given Input numbers are 492, 799, 782, 460

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 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 492, 799, 782, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 799, 782, 460 is 1.

Therefore, GCD of numbers 492, 799, 782, 460 is 1

Given Input Data is 492, 799, 782, 460

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 799 is 17 x 47

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 460 is 2 x 2 x 5 x 23

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, 799) = 393108

GCD(492, 799) = ( 492 x 799 ) / 393108

GCD(492, 799) = 393108 / 393108

GCD(492, 799) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 492, 799, 782, 460 is 1

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• GCD of 276, 600, 391, 452
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1. What is the GCD of 492, 799, 782, 460?

GCD of 492, 799, 782, 460 is 1

2. Where do I get the detailed procedure to find GCD of 492, 799, 782, 460?

You can find a detailed procedure to find GCD of 492, 799, 782, 460 on our page.

3. How to find GCD of 492, 799, 782, 460 on a calculator?

You can find the GCD of 492, 799, 782, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.