GCD of 784, 520, 43, 916 Calculator

Given Input numbers are 784, 520, 43, 916

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 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 784, 520, 43, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 520, 43, 916 is 1.

Therefore, GCD of numbers 784, 520, 43, 916 is 1

Given Input Data is 784, 520, 43, 916

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 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 43 is 43

Prime Factorization of 916 is 2 x 2 x 229

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, 520) = 50960

GCD(784, 520) = ( 784 x 520 ) / 50960

GCD(784, 520) = 407680 / 50960

GCD(784, 520) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 43

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

LCM(8, 43) = 344

GCD(8, 43) = ( 8 x 43 ) / 344

GCD(8, 43) = 344 / 344

GCD(8, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 784, 520, 43, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 574, 50, 736
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• GCD of 200, 949, 88, 518
• GCD of 137, 548, 28, 199

1. What is the GCD of 784, 520, 43, 916?

GCD of 784, 520, 43, 916 is 1

2. Where do I get the detailed procedure to find GCD of 784, 520, 43, 916?

You can find a detailed procedure to find GCD of 784, 520, 43, 916 on our page.

3. How to find GCD of 784, 520, 43, 916 on a calculator?

You can find the GCD of 784, 520, 43, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.