GCD of 346, 372, 310, 917 Calculator

Given Input numbers are 346, 372, 310, 917

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 346, 372, 310, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 372, 310, 917 is 1.

Therefore, GCD of numbers 346, 372, 310, 917 is 1

Given Input Data is 346, 372, 310, 917

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 917 is 7 x 131

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(346, 372) = 64356

GCD(346, 372) = ( 346 x 372 ) / 64356

GCD(346, 372) = 128712 / 64356

GCD(346, 372) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 310

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

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

GCD(2, 310) = 620 / 310

GCD(2, 310) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 917

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

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

GCD(2, 917) = 1834 / 1834

GCD(2, 917) = 1

GCD of 346, 372, 310, 917 is 1

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1. What is the GCD of 346, 372, 310, 917?

GCD of 346, 372, 310, 917 is 1

2. Where do I get the detailed procedure to find GCD of 346, 372, 310, 917?

You can find a detailed procedure to find GCD of 346, 372, 310, 917 on our page.

3. How to find GCD of 346, 372, 310, 917 on a calculator?

You can find the GCD of 346, 372, 310, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.