GCD of 784, 582, 152, 913 Calculator

Given Input numbers are 784, 582, 152, 913

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 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 784, 582, 152, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 582, 152, 913 is 1.

Therefore, GCD of numbers 784, 582, 152, 913 is 1

Given Input Data is 784, 582, 152, 913

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 582 is 2 x 3 x 97

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 913 is 11 x 83

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, 582) = 228144

GCD(784, 582) = ( 784 x 582 ) / 228144

GCD(784, 582) = 456288 / 228144

GCD(784, 582) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 152

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

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

GCD(2, 152) = 304 / 152

GCD(2, 152) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 913

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

LCM(2, 913) = 1826

GCD(2, 913) = ( 2 x 913 ) / 1826

GCD(2, 913) = 1826 / 1826

GCD(2, 913) = 1

GCD of 784, 582, 152, 913 is 1

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1. What is the GCD of 784, 582, 152, 913?

GCD of 784, 582, 152, 913 is 1

2. Where do I get the detailed procedure to find GCD of 784, 582, 152, 913?

You can find a detailed procedure to find GCD of 784, 582, 152, 913 on our page.

3. How to find GCD of 784, 582, 152, 913 on a calculator?

You can find the GCD of 784, 582, 152, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.