GCD of 759, 361, 400 Calculator

Given Input numbers are 759, 361, 400

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 759, 361, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 361, 400 is 1.

Therefore, GCD of numbers 759, 361, 400 is 1

Given Input Data is 759, 361, 400

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 361 is 19 x 19

Prime Factorization of 400 is 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(759, 361) = 273999

GCD(759, 361) = ( 759 x 361 ) / 273999

GCD(759, 361) = 273999 / 273999

GCD(759, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 759, 361, 400 is 1

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1. What is the GCD of 759, 361, 400?

GCD of 759, 361, 400 is 1

2. Where do I get the detailed procedure to find GCD of 759, 361, 400?

You can find a detailed procedure to find GCD of 759, 361, 400 on our page.

3. How to find GCD of 759, 361, 400 on a calculator?

You can find the GCD of 759, 361, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.