GCD of 90, 900, 225, 661 Calculator

Given Input numbers are 90, 900, 225, 661

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 90, 900, 225, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 900, 225, 661 is 1.

Therefore, GCD of numbers 90, 900, 225, 661 is 1

Given Input Data is 90, 900, 225, 661

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 661 is 661

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(90, 900) = 900

GCD(90, 900) = ( 90 x 900 ) / 900

GCD(90, 900) = 81000 / 900

GCD(90, 900) = 90

Step2:

Here we consider the GCD from the above i.e. 90 as first number and the next as 225

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

LCM(90, 225) = 450

GCD(90, 225) = ( 90 x 225 ) / 450

GCD(90, 225) = 20250 / 450

GCD(90, 225) = 45

Step3:

Here we consider the GCD from the above i.e. 45 as first number and the next as 661

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

LCM(45, 661) = 29745

GCD(45, 661) = ( 45 x 661 ) / 29745

GCD(45, 661) = 29745 / 29745

GCD(45, 661) = 1

GCD of 90, 900, 225, 661 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 437, 137, 542
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• GCD of 65, 924, 613, 469
• GCD of 37, 549, 705, 220
• GCD of 22, 657, 385, 474

1. What is the GCD of 90, 900, 225, 661?

GCD of 90, 900, 225, 661 is 1

2. Where do I get the detailed procedure to find GCD of 90, 900, 225, 661?

You can find a detailed procedure to find GCD of 90, 900, 225, 661 on our page.

3. How to find GCD of 90, 900, 225, 661 on a calculator?

You can find the GCD of 90, 900, 225, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.