GCD of 784, 840, 83, 812 Calculator

Given Input numbers are 784, 840, 83, 812

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 784, 840, 83, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 840, 83, 812 is 1.

Therefore, GCD of numbers 784, 840, 83, 812 is 1

Given Input Data is 784, 840, 83, 812

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 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 83 is 83

Prime Factorization of 812 is 2 x 2 x 7 x 29

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, 840) = 11760

GCD(784, 840) = ( 784 x 840 ) / 11760

GCD(784, 840) = 658560 / 11760

GCD(784, 840) = 56

Step2:

Here we consider the GCD from the above i.e. 56 as first number and the next as 83

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

LCM(56, 83) = 4648

GCD(56, 83) = ( 56 x 83 ) / 4648

GCD(56, 83) = 4648 / 4648

GCD(56, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 784, 840, 83, 812 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 947, 18, 933
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• GCD of 119, 392, 13, 391

1. What is the GCD of 784, 840, 83, 812?

GCD of 784, 840, 83, 812 is 1

2. Where do I get the detailed procedure to find GCD of 784, 840, 83, 812?

You can find a detailed procedure to find GCD of 784, 840, 83, 812 on our page.

3. How to find GCD of 784, 840, 83, 812 on a calculator?

You can find the GCD of 784, 840, 83, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.