GCD of 726, 376, 695, 200 Calculator

Given Input numbers are 726, 376, 695, 200

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

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

Greatest Common Divisior

We found the divisors of 726, 376, 695, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 376, 695, 200 is 1.

Therefore, GCD of numbers 726, 376, 695, 200 is 1

Given Input Data is 726, 376, 695, 200

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 695 is 5 x 139

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

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(726, 376) = 136488

GCD(726, 376) = ( 726 x 376 ) / 136488

GCD(726, 376) = 272976 / 136488

GCD(726, 376) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 695

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

LCM(2, 695) = 1390

GCD(2, 695) = ( 2 x 695 ) / 1390

GCD(2, 695) = 1390 / 1390

GCD(2, 695) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 726, 376, 695, 200 is 1

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1. What is the GCD of 726, 376, 695, 200?

GCD of 726, 376, 695, 200 is 1

2. Where do I get the detailed procedure to find GCD of 726, 376, 695, 200?

You can find a detailed procedure to find GCD of 726, 376, 695, 200 on our page.

3. How to find GCD of 726, 376, 695, 200 on a calculator?

You can find the GCD of 726, 376, 695, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.