GCD of 316, 708, 299, 332 Calculator

Given Input numbers are 316, 708, 299, 332

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 332

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

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 316, 708, 299, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 708, 299, 332 is 1.

Therefore, GCD of numbers 316, 708, 299, 332 is 1

Given Input Data is 316, 708, 299, 332

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 299 is 13 x 23

Prime Factorization of 332 is 2 x 2 x 83

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(316, 708) = 55932

GCD(316, 708) = ( 316 x 708 ) / 55932

GCD(316, 708) = 223728 / 55932

GCD(316, 708) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 299

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

LCM(4, 299) = 1196

GCD(4, 299) = ( 4 x 299 ) / 1196

GCD(4, 299) = 1196 / 1196

GCD(4, 299) = 1

Step3:

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

GCD of 316, 708, 299, 332 is 1

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1. What is the GCD of 316, 708, 299, 332?

GCD of 316, 708, 299, 332 is 1

2. Where do I get the detailed procedure to find GCD of 316, 708, 299, 332?

You can find a detailed procedure to find GCD of 316, 708, 299, 332 on our page.

3. How to find GCD of 316, 708, 299, 332 on a calculator?

You can find the GCD of 316, 708, 299, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.