GCD of 561, 945, 14, 463 Calculator

Given Input numbers are 561, 945, 14, 463

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

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 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 561, 945, 14, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 945, 14, 463 is 1.

Therefore, GCD of numbers 561, 945, 14, 463 is 1

Given Input Data is 561, 945, 14, 463

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 463 is 463

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(561, 945) = 176715

GCD(561, 945) = ( 561 x 945 ) / 176715

GCD(561, 945) = 530145 / 176715

GCD(561, 945) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 463

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

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

GCD(1, 463) = 463 / 463

GCD(1, 463) = 1

GCD of 561, 945, 14, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 748, 25, 473
• GCD of 505, 873, 69, 459
• GCD of 636, 179, 27, 559
• GCD of 553, 489, 10, 757
• GCD of 984, 657, 47, 358

1. What is the GCD of 561, 945, 14, 463?

GCD of 561, 945, 14, 463 is 1

2. Where do I get the detailed procedure to find GCD of 561, 945, 14, 463?

You can find a detailed procedure to find GCD of 561, 945, 14, 463 on our page.

3. How to find GCD of 561, 945, 14, 463 on a calculator?

You can find the GCD of 561, 945, 14, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.