GCD of 784, 876, 104, 657 Calculator

Given Input numbers are 784, 876, 104, 657

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 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 784, 876, 104, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 876, 104, 657 is 1.

Therefore, GCD of numbers 784, 876, 104, 657 is 1

Given Input Data is 784, 876, 104, 657

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 876 is 2 x 2 x 3 x 73

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 657 is 3 x 3 x 73

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, 876) = 171696

GCD(784, 876) = ( 784 x 876 ) / 171696

GCD(784, 876) = 686784 / 171696

GCD(784, 876) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 104

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

LCM(4, 104) = 104

GCD(4, 104) = ( 4 x 104 ) / 104

GCD(4, 104) = 416 / 104

GCD(4, 104) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 657

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

LCM(4, 657) = 2628

GCD(4, 657) = ( 4 x 657 ) / 2628

GCD(4, 657) = 2628 / 2628

GCD(4, 657) = 1

GCD of 784, 876, 104, 657 is 1

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1. What is the GCD of 784, 876, 104, 657?

GCD of 784, 876, 104, 657 is 1

2. Where do I get the detailed procedure to find GCD of 784, 876, 104, 657?

You can find a detailed procedure to find GCD of 784, 876, 104, 657 on our page.

3. How to find GCD of 784, 876, 104, 657 on a calculator?

You can find the GCD of 784, 876, 104, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.