GCD of 207, 431, 665, 900 Calculator

Given Input numbers are 207, 431, 665, 900

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 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 207, 431, 665, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 431, 665, 900 is 1.

Therefore, GCD of numbers 207, 431, 665, 900 is 1

Given Input Data is 207, 431, 665, 900

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 431 is 431

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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, 431) = 89217

GCD(207, 431) = ( 207 x 431 ) / 89217

GCD(207, 431) = 89217 / 89217

GCD(207, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 665

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

LCM(1, 665) = 665

GCD(1, 665) = ( 1 x 665 ) / 665

GCD(1, 665) = 665 / 665

GCD(1, 665) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 207, 431, 665, 900 is 1

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1. What is the GCD of 207, 431, 665, 900?

GCD of 207, 431, 665, 900 is 1

2. Where do I get the detailed procedure to find GCD of 207, 431, 665, 900?

You can find a detailed procedure to find GCD of 207, 431, 665, 900 on our page.

3. How to find GCD of 207, 431, 665, 900 on a calculator?

You can find the GCD of 207, 431, 665, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.