GCD of 784, 520, 88, 398 Calculator

Given Input numbers are 784, 520, 88, 398

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 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 784, 520, 88, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 520, 88, 398 is 2.

Therefore, GCD of numbers 784, 520, 88, 398 is 2

Given Input Data is 784, 520, 88, 398

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 88 is 2 x 2 x 2 x 11

Prime Factorization of 398 is 2 x 199

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, 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 88

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

LCM(8, 88) = 88

GCD(8, 88) = ( 8 x 88 ) / 88

GCD(8, 88) = 704 / 88

GCD(8, 88) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 398

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

LCM(8, 398) = 1592

GCD(8, 398) = ( 8 x 398 ) / 1592

GCD(8, 398) = 3184 / 1592

GCD(8, 398) = 2

GCD of 784, 520, 88, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 816, 66, 196
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• GCD of 666, 195, 83, 797
• GCD of 212, 112, 37, 694

1. What is the GCD of 784, 520, 88, 398?

GCD of 784, 520, 88, 398 is 2

2. Where do I get the detailed procedure to find GCD of 784, 520, 88, 398?

You can find a detailed procedure to find GCD of 784, 520, 88, 398 on our page.

3. How to find GCD of 784, 520, 88, 398 on a calculator?

You can find the GCD of 784, 520, 88, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.