GCD of 200, 680, 749, 816 Calculator

Given Input numbers are 200, 680, 749, 816

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Greatest Common Divisior

We found the divisors of 200, 680, 749, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 680, 749, 816 is 1.

Therefore, GCD of numbers 200, 680, 749, 816 is 1

Given Input Data is 200, 680, 749, 816

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 749 is 7 x 107

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

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(200, 680) = 3400

GCD(200, 680) = ( 200 x 680 ) / 3400

GCD(200, 680) = 136000 / 3400

GCD(200, 680) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 749

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

LCM(40, 749) = 29960

GCD(40, 749) = ( 40 x 749 ) / 29960

GCD(40, 749) = 29960 / 29960

GCD(40, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 1

GCD of 200, 680, 749, 816 is 1

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• GCD of 527, 160, 487, 362
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1. What is the GCD of 200, 680, 749, 816?

GCD of 200, 680, 749, 816 is 1

2. Where do I get the detailed procedure to find GCD of 200, 680, 749, 816?

You can find a detailed procedure to find GCD of 200, 680, 749, 816 on our page.

3. How to find GCD of 200, 680, 749, 816 on a calculator?

You can find the GCD of 200, 680, 749, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.