GCD of 200, 914, 345 Calculator

Given Input numbers are 200, 914, 345

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

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 200, 914, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 914, 345 is 1.

Therefore, GCD of numbers 200, 914, 345 is 1

Given Input Data is 200, 914, 345

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 914 is 2 x 457

Prime Factorization of 345 is 3 x 5 x 23

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(200, 914) = 91400

GCD(200, 914) = ( 200 x 914 ) / 91400

GCD(200, 914) = 182800 / 91400

GCD(200, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 345

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

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

GCD(2, 345) = 690 / 690

GCD(2, 345) = 1

GCD of 200, 914, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 325, 680
• GCD of 902, 113, 366
• GCD of 890, 959, 484
• GCD of 256, 669, 926
• GCD of 453, 248, 199

1. What is the GCD of 200, 914, 345?

GCD of 200, 914, 345 is 1

2. Where do I get the detailed procedure to find GCD of 200, 914, 345?

You can find a detailed procedure to find GCD of 200, 914, 345 on our page.

3. How to find GCD of 200, 914, 345 on a calculator?

You can find the GCD of 200, 914, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.