GCD of 83, 699, 679, 412 Calculator

Given Input numbers are 83, 699, 679, 412

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 83, 699, 679, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 699, 679, 412 is 1.

Therefore, GCD of numbers 83, 699, 679, 412 is 1

Given Input Data is 83, 699, 679, 412

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

Prime Factorization of 83 is 83

Prime Factorization of 699 is 3 x 233

Prime Factorization of 679 is 7 x 97

Prime Factorization of 412 is 2 x 2 x 103

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(83, 699) = 58017

GCD(83, 699) = ( 83 x 699 ) / 58017

GCD(83, 699) = 58017 / 58017

GCD(83, 699) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 83, 699, 679, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 170, 121, 463
• GCD of 59, 143, 440, 532
• GCD of 89, 159, 498, 960
• GCD of 80, 119, 144, 588
• GCD of 70, 669, 341, 770

1. What is the GCD of 83, 699, 679, 412?

GCD of 83, 699, 679, 412 is 1

2. Where do I get the detailed procedure to find GCD of 83, 699, 679, 412?

You can find a detailed procedure to find GCD of 83, 699, 679, 412 on our page.

3. How to find GCD of 83, 699, 679, 412 on a calculator?

You can find the GCD of 83, 699, 679, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.