GCD of 65, 200, 718, 843 Calculator

Given Input numbers are 65, 200, 718, 843

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Greatest Common Divisior

We found the divisors of 65, 200, 718, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 200, 718, 843 is 1.

Therefore, GCD of numbers 65, 200, 718, 843 is 1

Given Input Data is 65, 200, 718, 843

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

Prime Factorization of 65 is 5 x 13

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 843 is 3 x 281

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(65, 200) = 2600

GCD(65, 200) = ( 65 x 200 ) / 2600

GCD(65, 200) = 13000 / 2600

GCD(65, 200) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 718

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

LCM(5, 718) = 3590

GCD(5, 718) = ( 5 x 718 ) / 3590

GCD(5, 718) = 3590 / 3590

GCD(5, 718) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 843

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

LCM(1, 843) = 843

GCD(1, 843) = ( 1 x 843 ) / 843

GCD(1, 843) = 843 / 843

GCD(1, 843) = 1

GCD of 65, 200, 718, 843 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 171, 620, 505
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• GCD of 14, 995, 119, 209

1. What is the GCD of 65, 200, 718, 843?

GCD of 65, 200, 718, 843 is 1

2. Where do I get the detailed procedure to find GCD of 65, 200, 718, 843?

You can find a detailed procedure to find GCD of 65, 200, 718, 843 on our page.

3. How to find GCD of 65, 200, 718, 843 on a calculator?

You can find the GCD of 65, 200, 718, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.