GCD of 349, 176, 508, 963 Calculator

Given Input numbers are 349, 176, 508, 963

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 508

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

1, 2, 4, 127, 254, 508

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 349, 176, 508, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 176, 508, 963 is 1.

Therefore, GCD of numbers 349, 176, 508, 963 is 1

Given Input Data is 349, 176, 508, 963

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

Prime Factorization of 349 is 349

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 963 is 3 x 3 x 107

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(349, 176) = 61424

GCD(349, 176) = ( 349 x 176 ) / 61424

GCD(349, 176) = 61424 / 61424

GCD(349, 176) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 349, 176, 508, 963 is 1

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1. What is the GCD of 349, 176, 508, 963?

GCD of 349, 176, 508, 963 is 1

2. Where do I get the detailed procedure to find GCD of 349, 176, 508, 963?

You can find a detailed procedure to find GCD of 349, 176, 508, 963 on our page.

3. How to find GCD of 349, 176, 508, 963 on a calculator?

You can find the GCD of 349, 176, 508, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.