GCD of 350, 508, 361 Calculator

Given Input numbers are 350, 508, 361

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 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 361

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

1, 19, 361

Greatest Common Divisior

We found the divisors of 350, 508, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 508, 361 is 1.

Therefore, GCD of numbers 350, 508, 361 is 1

Given Input Data is 350, 508, 361

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 508 is 2 x 2 x 127

Prime Factorization of 361 is 19 x 19

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, 508) = 88900

GCD(350, 508) = ( 350 x 508 ) / 88900

GCD(350, 508) = 177800 / 88900

GCD(350, 508) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 361

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

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

GCD(2, 361) = 722 / 722

GCD(2, 361) = 1

GCD of 350, 508, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 334, 590
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• GCD of 822, 998, 120
• GCD of 338, 841, 921

1. What is the GCD of 350, 508, 361?

GCD of 350, 508, 361 is 1

2. Where do I get the detailed procedure to find GCD of 350, 508, 361?

You can find a detailed procedure to find GCD of 350, 508, 361 on our page.

3. How to find GCD of 350, 508, 361 on a calculator?

You can find the GCD of 350, 508, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.