GCD of 184, 414, 58, 208 Calculator

Given Input numbers are 184, 414, 58, 208

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 184, 414, 58, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 414, 58, 208 is 2.

Therefore, GCD of numbers 184, 414, 58, 208 is 2

Given Input Data is 184, 414, 58, 208

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 58 is 2 x 29

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(184, 414) = 1656

GCD(184, 414) = ( 184 x 414 ) / 1656

GCD(184, 414) = 76176 / 1656

GCD(184, 414) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 58

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

LCM(46, 58) = 1334

GCD(46, 58) = ( 46 x 58 ) / 1334

GCD(46, 58) = 2668 / 1334

GCD(46, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 208

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

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

GCD(2, 208) = 416 / 208

GCD(2, 208) = 2

GCD of 184, 414, 58, 208 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 158, 85, 689
• GCD of 208, 724, 84, 778
• GCD of 619, 131, 98, 615
• GCD of 728, 799, 46, 891
• GCD of 236, 962, 72, 652

1. What is the GCD of 184, 414, 58, 208?

GCD of 184, 414, 58, 208 is 2

2. Where do I get the detailed procedure to find GCD of 184, 414, 58, 208?

You can find a detailed procedure to find GCD of 184, 414, 58, 208 on our page.

3. How to find GCD of 184, 414, 58, 208 on a calculator?

You can find the GCD of 184, 414, 58, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.