GCD of 390, 601, 540, 400 Calculator

Given Input numbers are 390, 601, 540, 400

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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 390, 601, 540, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 601, 540, 400 is 1.

Therefore, GCD of numbers 390, 601, 540, 400 is 1

Given Input Data is 390, 601, 540, 400

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 601 is 601

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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(390, 601) = 234390

GCD(390, 601) = ( 390 x 601 ) / 234390

GCD(390, 601) = 234390 / 234390

GCD(390, 601) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

Step3:

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 390, 601, 540, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 933, 533, 504
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• GCD of 463, 598, 529, 900
• GCD of 266, 593, 332, 741
• GCD of 464, 674, 480, 147

1. What is the GCD of 390, 601, 540, 400?

GCD of 390, 601, 540, 400 is 1

2. Where do I get the detailed procedure to find GCD of 390, 601, 540, 400?

You can find a detailed procedure to find GCD of 390, 601, 540, 400 on our page.

3. How to find GCD of 390, 601, 540, 400 on a calculator?

You can find the GCD of 390, 601, 540, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.