GCD of 348, 184, 69, 200 Calculator

Given Input numbers are 348, 184, 69, 200

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 348, 184, 69, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 184, 69, 200 is 1.

Therefore, GCD of numbers 348, 184, 69, 200 is 1

Given Input Data is 348, 184, 69, 200

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 200 is 2 x 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(348, 184) = 16008

GCD(348, 184) = ( 348 x 184 ) / 16008

GCD(348, 184) = 64032 / 16008

GCD(348, 184) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 69

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

LCM(4, 69) = 276

GCD(4, 69) = ( 4 x 69 ) / 276

GCD(4, 69) = 276 / 276

GCD(4, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 348, 184, 69, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 659, 40, 349
• GCD of 474, 357, 44, 773
• GCD of 619, 635, 59, 732
• GCD of 788, 309, 39, 449
• GCD of 553, 225, 42, 798

1. What is the GCD of 348, 184, 69, 200?

GCD of 348, 184, 69, 200 is 1

2. Where do I get the detailed procedure to find GCD of 348, 184, 69, 200?

You can find a detailed procedure to find GCD of 348, 184, 69, 200 on our page.

3. How to find GCD of 348, 184, 69, 200 on a calculator?

You can find the GCD of 348, 184, 69, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.