GCD of 229, 900, 332, 350 Calculator

Given Input numbers are 229, 900, 332, 350

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

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 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 229, 900, 332, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 900, 332, 350 is 1.

Therefore, GCD of numbers 229, 900, 332, 350 is 1

Given Input Data is 229, 900, 332, 350

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

Prime Factorization of 229 is 229

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

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 350 is 2 x 5 x 5 x 7

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(229, 900) = 206100

GCD(229, 900) = ( 229 x 900 ) / 206100

GCD(229, 900) = 206100 / 206100

GCD(229, 900) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 332

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

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

GCD(1, 332) = 332 / 332

GCD(1, 332) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 229, 900, 332, 350 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 782, 504, 340
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• GCD of 492, 329, 380, 351

1. What is the GCD of 229, 900, 332, 350?

GCD of 229, 900, 332, 350 is 1

2. Where do I get the detailed procedure to find GCD of 229, 900, 332, 350?

You can find a detailed procedure to find GCD of 229, 900, 332, 350 on our page.

3. How to find GCD of 229, 900, 332, 350 on a calculator?

You can find the GCD of 229, 900, 332, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.