GCD of 448, 506, 561, 764 Calculator

Given Input numbers are 448, 506, 561, 764

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

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 448, 506, 561, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 506, 561, 764 is 1.

Therefore, GCD of numbers 448, 506, 561, 764 is 1

Given Input Data is 448, 506, 561, 764

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

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 764 is 2 x 2 x 191

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(448, 506) = 113344

GCD(448, 506) = ( 448 x 506 ) / 113344

GCD(448, 506) = 226688 / 113344

GCD(448, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 561

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

LCM(2, 561) = 1122

GCD(2, 561) = ( 2 x 561 ) / 1122

GCD(2, 561) = 1122 / 1122

GCD(2, 561) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

GCD of 448, 506, 561, 764 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 855, 933, 721
• GCD of 176, 890, 457, 992
• GCD of 330, 920, 671, 197
• GCD of 132, 401, 201, 469
• GCD of 192, 449, 537, 852

1. What is the GCD of 448, 506, 561, 764?

GCD of 448, 506, 561, 764 is 1

2. Where do I get the detailed procedure to find GCD of 448, 506, 561, 764?

You can find a detailed procedure to find GCD of 448, 506, 561, 764 on our page.

3. How to find GCD of 448, 506, 561, 764 on a calculator?

You can find the GCD of 448, 506, 561, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.