GCD of 736, 188, 401, 800 Calculator

Given Input numbers are 736, 188, 401, 800

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

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

Greatest Common Divisior

We found the divisors of 736, 188, 401, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 188, 401, 800 is 1.

Therefore, GCD of numbers 736, 188, 401, 800 is 1

Given Input Data is 736, 188, 401, 800

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 401 is 401

Prime Factorization of 800 is 2 x 2 x 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(736, 188) = 34592

GCD(736, 188) = ( 736 x 188 ) / 34592

GCD(736, 188) = 138368 / 34592

GCD(736, 188) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 401

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

LCM(4, 401) = 1604

GCD(4, 401) = ( 4 x 401 ) / 1604

GCD(4, 401) = 1604 / 1604

GCD(4, 401) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 736, 188, 401, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 435, 671, 451
• GCD of 794, 220, 362, 266
• GCD of 385, 841, 990, 156
• GCD of 286, 444, 364, 699
• GCD of 546, 143, 101, 354

1. What is the GCD of 736, 188, 401, 800?

GCD of 736, 188, 401, 800 is 1

2. Where do I get the detailed procedure to find GCD of 736, 188, 401, 800?

You can find a detailed procedure to find GCD of 736, 188, 401, 800 on our page.

3. How to find GCD of 736, 188, 401, 800 on a calculator?

You can find the GCD of 736, 188, 401, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.