GCD of 79, 369, 168, 214 Calculator

Given Input numbers are 79, 369, 168, 214

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

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 79, 369, 168, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 79, 369, 168, 214 is 1.

Therefore, GCD of numbers 79, 369, 168, 214 is 1

Given Input Data is 79, 369, 168, 214

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

Prime Factorization of 79 is 79

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 214 is 2 x 107

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(79, 369) = 29151

GCD(79, 369) = ( 79 x 369 ) / 29151

GCD(79, 369) = 29151 / 29151

GCD(79, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 79, 369, 168, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 612, 200, 709
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• GCD of 10, 821, 763, 780
• GCD of 22, 351, 643, 766

1. What is the GCD of 79, 369, 168, 214?

GCD of 79, 369, 168, 214 is 1

2. Where do I get the detailed procedure to find GCD of 79, 369, 168, 214?

You can find a detailed procedure to find GCD of 79, 369, 168, 214 on our page.

3. How to find GCD of 79, 369, 168, 214 on a calculator?

You can find the GCD of 79, 369, 168, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.