GCD of 316, 119, 114, 696 Calculator

Given Input numbers are 316, 119, 114, 696

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 316, 119, 114, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 119, 114, 696 is 1.

Therefore, GCD of numbers 316, 119, 114, 696 is 1

Given Input Data is 316, 119, 114, 696

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 119 is 7 x 17

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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, 119) = 37604

GCD(316, 119) = ( 316 x 119 ) / 37604

GCD(316, 119) = 37604 / 37604

GCD(316, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

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

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

GCD of 316, 119, 114, 696 is 1

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1. What is the GCD of 316, 119, 114, 696?

GCD of 316, 119, 114, 696 is 1

2. Where do I get the detailed procedure to find GCD of 316, 119, 114, 696?

You can find a detailed procedure to find GCD of 316, 119, 114, 696 on our page.

3. How to find GCD of 316, 119, 114, 696 on a calculator?

You can find the GCD of 316, 119, 114, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.