GCD of 800, 428, 777 Calculator

Given Input numbers are 800, 428, 777

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 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Greatest Common Divisior

We found the divisors of 800, 428, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 428, 777 is 1.

Therefore, GCD of numbers 800, 428, 777 is 1

Given Input Data is 800, 428, 777

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 428 is 2 x 2 x 107

Prime Factorization of 777 is 3 x 7 x 37

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, 428) = 85600

GCD(800, 428) = ( 800 x 428 ) / 85600

GCD(800, 428) = 342400 / 85600

GCD(800, 428) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 777

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

LCM(4, 777) = 3108

GCD(4, 777) = ( 4 x 777 ) / 3108

GCD(4, 777) = 3108 / 3108

GCD(4, 777) = 1

GCD of 800, 428, 777 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 254, 366
• GCD of 952, 447, 528
• GCD of 189, 730, 332
• GCD of 673, 151, 494
• GCD of 144, 220, 974

1. What is the GCD of 800, 428, 777?

GCD of 800, 428, 777 is 1

2. Where do I get the detailed procedure to find GCD of 800, 428, 777?

You can find a detailed procedure to find GCD of 800, 428, 777 on our page.

3. How to find GCD of 800, 428, 777 on a calculator?

You can find the GCD of 800, 428, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.