GCD of 402, 286, 78, 784 Calculator

Given Input numbers are 402, 286, 78, 784

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 402, 286, 78, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 286, 78, 784 is 2.

Therefore, GCD of numbers 402, 286, 78, 784 is 2

Given Input Data is 402, 286, 78, 784

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 78 is 2 x 3 x 13

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(402, 286) = 57486

GCD(402, 286) = ( 402 x 286 ) / 57486

GCD(402, 286) = 114972 / 57486

GCD(402, 286) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 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 402, 286, 78, 784 is 2

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1. What is the GCD of 402, 286, 78, 784?

GCD of 402, 286, 78, 784 is 2

2. Where do I get the detailed procedure to find GCD of 402, 286, 78, 784?

You can find a detailed procedure to find GCD of 402, 286, 78, 784 on our page.

3. How to find GCD of 402, 286, 78, 784 on a calculator?

You can find the GCD of 402, 286, 78, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.