GCD of 784, 182, 825, 562 Calculator

Given Input numbers are 784, 182, 825, 562

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 784, 182, 825, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 182, 825, 562 is 1.

Therefore, GCD of numbers 784, 182, 825, 562 is 1

Given Input Data is 784, 182, 825, 562

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 182 is 2 x 7 x 13

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

Prime Factorization of 562 is 2 x 281

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(784, 182) = 10192

GCD(784, 182) = ( 784 x 182 ) / 10192

GCD(784, 182) = 142688 / 10192

GCD(784, 182) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 825

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

LCM(14, 825) = 11550

GCD(14, 825) = ( 14 x 825 ) / 11550

GCD(14, 825) = 11550 / 11550

GCD(14, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 562

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

LCM(1, 562) = 562

GCD(1, 562) = ( 1 x 562 ) / 562

GCD(1, 562) = 562 / 562

GCD(1, 562) = 1

GCD of 784, 182, 825, 562 is 1

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1. What is the GCD of 784, 182, 825, 562?

GCD of 784, 182, 825, 562 is 1

2. Where do I get the detailed procedure to find GCD of 784, 182, 825, 562?

You can find a detailed procedure to find GCD of 784, 182, 825, 562 on our page.

3. How to find GCD of 784, 182, 825, 562 on a calculator?

You can find the GCD of 784, 182, 825, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.