GCD of 207, 460, 10, 436 Calculator

Given Input numbers are 207, 460, 10, 436

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

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 10

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

1, 2, 5, 10

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 207, 460, 10, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 460, 10, 436 is 1.

Therefore, GCD of numbers 207, 460, 10, 436 is 1

Given Input Data is 207, 460, 10, 436

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

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 10 is 2 x 5

Prime Factorization of 436 is 2 x 2 x 109

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(207, 460) = 4140

GCD(207, 460) = ( 207 x 460 ) / 4140

GCD(207, 460) = 95220 / 4140

GCD(207, 460) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 10

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

LCM(23, 10) = 230

GCD(23, 10) = ( 23 x 10 ) / 230

GCD(23, 10) = 230 / 230

GCD(23, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 436

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

LCM(1, 436) = 436

GCD(1, 436) = ( 1 x 436 ) / 436

GCD(1, 436) = 436 / 436

GCD(1, 436) = 1

GCD of 207, 460, 10, 436 is 1

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1. What is the GCD of 207, 460, 10, 436?

GCD of 207, 460, 10, 436 is 1

2. Where do I get the detailed procedure to find GCD of 207, 460, 10, 436?

You can find a detailed procedure to find GCD of 207, 460, 10, 436 on our page.

3. How to find GCD of 207, 460, 10, 436 on a calculator?

You can find the GCD of 207, 460, 10, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.