GCD of 276, 800, 75, 343 Calculator

Given Input numbers are 276, 800, 75, 343

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 276, 800, 75, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 800, 75, 343 is 1.

Therefore, GCD of numbers 276, 800, 75, 343 is 1

Given Input Data is 276, 800, 75, 343

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 343 is 7 x 7 x 7

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(276, 800) = 55200

GCD(276, 800) = ( 276 x 800 ) / 55200

GCD(276, 800) = 220800 / 55200

GCD(276, 800) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 75

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

LCM(4, 75) = 300

GCD(4, 75) = ( 4 x 75 ) / 300

GCD(4, 75) = 300 / 300

GCD(4, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 276, 800, 75, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 308, 16, 239
• GCD of 139, 231, 29, 967
• GCD of 683, 233, 41, 501
• GCD of 708, 480, 66, 344
• GCD of 646, 798, 15, 966

1. What is the GCD of 276, 800, 75, 343?

GCD of 276, 800, 75, 343 is 1

2. Where do I get the detailed procedure to find GCD of 276, 800, 75, 343?

You can find a detailed procedure to find GCD of 276, 800, 75, 343 on our page.

3. How to find GCD of 276, 800, 75, 343 on a calculator?

You can find the GCD of 276, 800, 75, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.