GCD of 715, 545, 804, 384 Calculator

Given Input numbers are 715, 545, 804, 384

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

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 715, 545, 804, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 545, 804, 384 is 1.

Therefore, GCD of numbers 715, 545, 804, 384 is 1

Given Input Data is 715, 545, 804, 384

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

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 545 is 5 x 109

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(715, 545) = 77935

GCD(715, 545) = ( 715 x 545 ) / 77935

GCD(715, 545) = 389675 / 77935

GCD(715, 545) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 804

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

LCM(5, 804) = 4020

GCD(5, 804) = ( 5 x 804 ) / 4020

GCD(5, 804) = 4020 / 4020

GCD(5, 804) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 715, 545, 804, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 558, 148, 308
• GCD of 133, 510, 606, 109
• GCD of 414, 184, 543, 867
• GCD of 347, 753, 216, 235
• GCD of 149, 386, 570, 218

1. What is the GCD of 715, 545, 804, 384?

GCD of 715, 545, 804, 384 is 1

2. Where do I get the detailed procedure to find GCD of 715, 545, 804, 384?

You can find a detailed procedure to find GCD of 715, 545, 804, 384 on our page.

3. How to find GCD of 715, 545, 804, 384 on a calculator?

You can find the GCD of 715, 545, 804, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.