GCD of 51, 935, 560, 441 Calculator

Given Input numbers are 51, 935, 560, 441

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 51, 935, 560, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 935, 560, 441 is 1.

Therefore, GCD of numbers 51, 935, 560, 441 is 1

Given Input Data is 51, 935, 560, 441

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 441 is 3 x 3 x 7 x 7

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(51, 935) = 2805

GCD(51, 935) = ( 51 x 935 ) / 2805

GCD(51, 935) = 47685 / 2805

GCD(51, 935) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 560

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

LCM(17, 560) = 9520

GCD(17, 560) = ( 17 x 560 ) / 9520

GCD(17, 560) = 9520 / 9520

GCD(17, 560) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 51, 935, 560, 441 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 133, 696, 961
• GCD of 52, 229, 140, 721
• GCD of 18, 813, 596, 726
• GCD of 59, 716, 844, 403
• GCD of 73, 474, 438, 297

1. What is the GCD of 51, 935, 560, 441?

GCD of 51, 935, 560, 441 is 1

2. Where do I get the detailed procedure to find GCD of 51, 935, 560, 441?

You can find a detailed procedure to find GCD of 51, 935, 560, 441 on our page.

3. How to find GCD of 51, 935, 560, 441 on a calculator?

You can find the GCD of 51, 935, 560, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.