GCD of 722, 200, 318, 639 Calculator

Given Input numbers are 722, 200, 318, 639

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

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 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Greatest Common Divisior

We found the divisors of 722, 200, 318, 639 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 200, 318, 639 is 1.

Therefore, GCD of numbers 722, 200, 318, 639 is 1

Given Input Data is 722, 200, 318, 639

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

Prime Factorization of 722 is 2 x 19 x 19

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 639 is 3 x 3 x 71

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(722, 200) = 72200

GCD(722, 200) = ( 722 x 200 ) / 72200

GCD(722, 200) = 144400 / 72200

GCD(722, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 318

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

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

GCD(2, 318) = 636 / 318

GCD(2, 318) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 639

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

LCM(2, 639) = 1278

GCD(2, 639) = ( 2 x 639 ) / 1278

GCD(2, 639) = 1278 / 1278

GCD(2, 639) = 1

GCD of 722, 200, 318, 639 is 1

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1. What is the GCD of 722, 200, 318, 639?

GCD of 722, 200, 318, 639 is 1

2. Where do I get the detailed procedure to find GCD of 722, 200, 318, 639?

You can find a detailed procedure to find GCD of 722, 200, 318, 639 on our page.

3. How to find GCD of 722, 200, 318, 639 on a calculator?

You can find the GCD of 722, 200, 318, 639 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.