GCD of 350, 471, 361, 900 Calculator

Given Input numbers are 350, 471, 361, 900

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

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

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 350, 471, 361, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 471, 361, 900 is 1.

Therefore, GCD of numbers 350, 471, 361, 900 is 1

Given Input Data is 350, 471, 361, 900

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

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 361 is 19 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(350, 471) = 164850

GCD(350, 471) = ( 350 x 471 ) / 164850

GCD(350, 471) = 164850 / 164850

GCD(350, 471) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 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 350, 471, 361, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 206, 273, 336
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• GCD of 551, 664, 880, 686

1. What is the GCD of 350, 471, 361, 900?

GCD of 350, 471, 361, 900 is 1

2. Where do I get the detailed procedure to find GCD of 350, 471, 361, 900?

You can find a detailed procedure to find GCD of 350, 471, 361, 900 on our page.

3. How to find GCD of 350, 471, 361, 900 on a calculator?

You can find the GCD of 350, 471, 361, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.