GCD of 696, 713, 342, 100 Calculator

Given Input numbers are 696, 713, 342, 100

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

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 696, 713, 342, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 713, 342, 100 is 1.

Therefore, GCD of numbers 696, 713, 342, 100 is 1

Given Input Data is 696, 713, 342, 100

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

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(696, 713) = 496248

GCD(696, 713) = ( 696 x 713 ) / 496248

GCD(696, 713) = 496248 / 496248

GCD(696, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 696, 713, 342, 100 is 1

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1. What is the GCD of 696, 713, 342, 100?

GCD of 696, 713, 342, 100 is 1

2. Where do I get the detailed procedure to find GCD of 696, 713, 342, 100?

You can find a detailed procedure to find GCD of 696, 713, 342, 100 on our page.

3. How to find GCD of 696, 713, 342, 100 on a calculator?

You can find the GCD of 696, 713, 342, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.