GCD of 10, 432, 434, 561 Calculator

Given Input numbers are 10, 432, 434, 561

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 561

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

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

Greatest Common Divisior

We found the divisors of 10, 432, 434, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 432, 434, 561 is 1.

Therefore, GCD of numbers 10, 432, 434, 561 is 1

Given Input Data is 10, 432, 434, 561

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 561 is 3 x 11 x 17

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(10, 432) = 2160

GCD(10, 432) = ( 10 x 432 ) / 2160

GCD(10, 432) = 4320 / 2160

GCD(10, 432) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 434

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

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

GCD(2, 434) = 868 / 434

GCD(2, 434) = 2

Step3:

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

GCD of 10, 432, 434, 561 is 1

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• GCD of 59, 928, 640, 612
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1. What is the GCD of 10, 432, 434, 561?

GCD of 10, 432, 434, 561 is 1

2. Where do I get the detailed procedure to find GCD of 10, 432, 434, 561?

You can find a detailed procedure to find GCD of 10, 432, 434, 561 on our page.

3. How to find GCD of 10, 432, 434, 561 on a calculator?

You can find the GCD of 10, 432, 434, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.