GCD of 900, 431, 271, 137 Calculator

Given Input numbers are 900, 431, 271, 137

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

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

Divisors of 431

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

1, 431

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 900, 431, 271, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 431, 271, 137 is 1.

Therefore, GCD of numbers 900, 431, 271, 137 is 1

Given Input Data is 900, 431, 271, 137

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

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

Prime Factorization of 431 is 431

Prime Factorization of 271 is 271

Prime Factorization of 137 is 137

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(900, 431) = 387900

GCD(900, 431) = ( 900 x 431 ) / 387900

GCD(900, 431) = 387900 / 387900

GCD(900, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

GCD of 900, 431, 271, 137 is 1

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1. What is the GCD of 900, 431, 271, 137?

GCD of 900, 431, 271, 137 is 1

2. Where do I get the detailed procedure to find GCD of 900, 431, 271, 137?

You can find a detailed procedure to find GCD of 900, 431, 271, 137 on our page.

3. How to find GCD of 900, 431, 271, 137 on a calculator?

You can find the GCD of 900, 431, 271, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.