GCD of 284, 862, 76, 784 Calculator

Given Input numbers are 284, 862, 76, 784

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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

Greatest Common Divisior

We found the divisors of 284, 862, 76, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 862, 76, 784 is 2.

Therefore, GCD of numbers 284, 862, 76, 784 is 2

Given Input Data is 284, 862, 76, 784

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 862 is 2 x 431

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(284, 862) = 122404

GCD(284, 862) = ( 284 x 862 ) / 122404

GCD(284, 862) = 244808 / 122404

GCD(284, 862) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 784

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

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

GCD(2, 784) = 1568 / 784

GCD(2, 784) = 2

GCD of 284, 862, 76, 784 is 2

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1. What is the GCD of 284, 862, 76, 784?

GCD of 284, 862, 76, 784 is 2

2. Where do I get the detailed procedure to find GCD of 284, 862, 76, 784?

You can find a detailed procedure to find GCD of 284, 862, 76, 784 on our page.

3. How to find GCD of 284, 862, 76, 784 on a calculator?

You can find the GCD of 284, 862, 76, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.