GCD of 800, 276, 43, 661 Calculator

Given Input numbers are 800, 276, 43, 661

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

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 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 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 800, 276, 43, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 276, 43, 661 is 1.

Therefore, GCD of numbers 800, 276, 43, 661 is 1

Given Input Data is 800, 276, 43, 661

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

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

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

Prime Factorization of 43 is 43

Prime Factorization of 661 is 661

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(800, 276) = 55200

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

GCD(800, 276) = 220800 / 55200

GCD(800, 276) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 43

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

LCM(4, 43) = 172

GCD(4, 43) = ( 4 x 43 ) / 172

GCD(4, 43) = 172 / 172

GCD(4, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 800, 276, 43, 661 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 323, 12, 973
• GCD of 920, 361, 94, 626
• GCD of 452, 303, 97, 907
• GCD of 682, 759, 44, 465
• GCD of 886, 344, 81, 234

1. What is the GCD of 800, 276, 43, 661?

GCD of 800, 276, 43, 661 is 1

2. Where do I get the detailed procedure to find GCD of 800, 276, 43, 661?

You can find a detailed procedure to find GCD of 800, 276, 43, 661 on our page.

3. How to find GCD of 800, 276, 43, 661 on a calculator?

You can find the GCD of 800, 276, 43, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.