GCD of 400, 369, 750 Calculator

Given Input numbers are 400, 369, 750

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

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 400, 369, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 369, 750 is 1.

Therefore, GCD of numbers 400, 369, 750 is 1

Given Input Data is 400, 369, 750

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 750 is 2 x 3 x 5 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(400, 369) = 147600

GCD(400, 369) = ( 400 x 369 ) / 147600

GCD(400, 369) = 147600 / 147600

GCD(400, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

GCD of 400, 369, 750 is 1

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1. What is the GCD of 400, 369, 750?

GCD of 400, 369, 750 is 1

2. Where do I get the detailed procedure to find GCD of 400, 369, 750?

You can find a detailed procedure to find GCD of 400, 369, 750 on our page.

3. How to find GCD of 400, 369, 750 on a calculator?

You can find the GCD of 400, 369, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.