GCD of 505, 907, 900, 149 Calculator

Given Input numbers are 505, 907, 900, 149

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

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 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 505, 907, 900, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 907, 900, 149 is 1.

Therefore, GCD of numbers 505, 907, 900, 149 is 1

Given Input Data is 505, 907, 900, 149

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 907 is 907

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

Prime Factorization of 149 is 149

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(505, 907) = 458035

GCD(505, 907) = ( 505 x 907 ) / 458035

GCD(505, 907) = 458035 / 458035

GCD(505, 907) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 505, 907, 900, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 353, 595, 826
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• GCD of 588, 873, 893, 114

1. What is the GCD of 505, 907, 900, 149?

GCD of 505, 907, 900, 149 is 1

2. Where do I get the detailed procedure to find GCD of 505, 907, 900, 149?

You can find a detailed procedure to find GCD of 505, 907, 900, 149 on our page.

3. How to find GCD of 505, 907, 900, 149 on a calculator?

You can find the GCD of 505, 907, 900, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.