GCD of 784, 676, 421, 733 Calculator

Given Input numbers are 784, 676, 421, 733

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 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 784, 676, 421, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 676, 421, 733 is 1.

Therefore, GCD of numbers 784, 676, 421, 733 is 1

Given Input Data is 784, 676, 421, 733

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 676 is 2 x 2 x 13 x 13

Prime Factorization of 421 is 421

Prime Factorization of 733 is 733

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, 676) = 132496

GCD(784, 676) = ( 784 x 676 ) / 132496

GCD(784, 676) = 529984 / 132496

GCD(784, 676) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 421

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

LCM(4, 421) = 1684

GCD(4, 421) = ( 4 x 421 ) / 1684

GCD(4, 421) = 1684 / 1684

GCD(4, 421) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 733

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

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

GCD(1, 733) = 733 / 733

GCD(1, 733) = 1

GCD of 784, 676, 421, 733 is 1

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1. What is the GCD of 784, 676, 421, 733?

GCD of 784, 676, 421, 733 is 1

2. Where do I get the detailed procedure to find GCD of 784, 676, 421, 733?

You can find a detailed procedure to find GCD of 784, 676, 421, 733 on our page.

3. How to find GCD of 784, 676, 421, 733 on a calculator?

You can find the GCD of 784, 676, 421, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.