GCD of 784, 960, 782, 410 Calculator

Given Input numbers are 784, 960, 782, 410

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Greatest Common Divisior

We found the divisors of 784, 960, 782, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 960, 782, 410 is 2.

Therefore, GCD of numbers 784, 960, 782, 410 is 2

Given Input Data is 784, 960, 782, 410

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 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 410 is 2 x 5 x 41

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(784, 960) = 47040

GCD(784, 960) = ( 784 x 960 ) / 47040

GCD(784, 960) = 752640 / 47040

GCD(784, 960) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 782

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

LCM(16, 782) = 6256

GCD(16, 782) = ( 16 x 782 ) / 6256

GCD(16, 782) = 12512 / 6256

GCD(16, 782) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 410

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

LCM(2, 410) = 410

GCD(2, 410) = ( 2 x 410 ) / 410

GCD(2, 410) = 820 / 410

GCD(2, 410) = 2

GCD of 784, 960, 782, 410 is 2

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1. What is the GCD of 784, 960, 782, 410?

GCD of 784, 960, 782, 410 is 2

2. Where do I get the detailed procedure to find GCD of 784, 960, 782, 410?

You can find a detailed procedure to find GCD of 784, 960, 782, 410 on our page.

3. How to find GCD of 784, 960, 782, 410 on a calculator?

You can find the GCD of 784, 960, 782, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.