GCD of 784, 767, 227, 689 Calculator

Given Input numbers are 784, 767, 227, 689

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 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 784, 767, 227, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 767, 227, 689 is 1.

Therefore, GCD of numbers 784, 767, 227, 689 is 1

Given Input Data is 784, 767, 227, 689

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 767 is 13 x 59

Prime Factorization of 227 is 227

Prime Factorization of 689 is 13 x 53

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, 767) = 601328

GCD(784, 767) = ( 784 x 767 ) / 601328

GCD(784, 767) = 601328 / 601328

GCD(784, 767) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 227

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

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

GCD(1, 227) = 227 / 227

GCD(1, 227) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 784, 767, 227, 689 is 1

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1. What is the GCD of 784, 767, 227, 689?

GCD of 784, 767, 227, 689 is 1

2. Where do I get the detailed procedure to find GCD of 784, 767, 227, 689?

You can find a detailed procedure to find GCD of 784, 767, 227, 689 on our page.

3. How to find GCD of 784, 767, 227, 689 on a calculator?

You can find the GCD of 784, 767, 227, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.