GCD of 800, 784, 31, 708 Calculator

Given Input numbers are 800, 784, 31, 708

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 800, 784, 31, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 784, 31, 708 is 1.

Therefore, GCD of numbers 800, 784, 31, 708 is 1

Given Input Data is 800, 784, 31, 708

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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

Prime Factorization of 31 is 31

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(800, 784) = 39200

GCD(800, 784) = ( 800 x 784 ) / 39200

GCD(800, 784) = 627200 / 39200

GCD(800, 784) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 31

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

LCM(16, 31) = 496

GCD(16, 31) = ( 16 x 31 ) / 496

GCD(16, 31) = 496 / 496

GCD(16, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 800, 784, 31, 708 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 238, 39, 712
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• GCD of 660, 792, 85, 261
• GCD of 421, 917, 16, 543
• GCD of 206, 253, 46, 528

1. What is the GCD of 800, 784, 31, 708?

GCD of 800, 784, 31, 708 is 1

2. Where do I get the detailed procedure to find GCD of 800, 784, 31, 708?

You can find a detailed procedure to find GCD of 800, 784, 31, 708 on our page.

3. How to find GCD of 800, 784, 31, 708 on a calculator?

You can find the GCD of 800, 784, 31, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.