GCD of 800, 780, 608, 901 Calculator

Given Input numbers are 800, 780, 608, 901

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 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 800, 780, 608, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 780, 608, 901 is 1.

Therefore, GCD of numbers 800, 780, 608, 901 is 1

Given Input Data is 800, 780, 608, 901

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 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 901 is 17 x 53

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, 780) = 31200

GCD(800, 780) = ( 800 x 780 ) / 31200

GCD(800, 780) = 624000 / 31200

GCD(800, 780) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 608

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

LCM(20, 608) = 3040

GCD(20, 608) = ( 20 x 608 ) / 3040

GCD(20, 608) = 12160 / 3040

GCD(20, 608) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 901

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

LCM(4, 901) = 3604

GCD(4, 901) = ( 4 x 901 ) / 3604

GCD(4, 901) = 3604 / 3604

GCD(4, 901) = 1

GCD of 800, 780, 608, 901 is 1

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1. What is the GCD of 800, 780, 608, 901?

GCD of 800, 780, 608, 901 is 1

2. Where do I get the detailed procedure to find GCD of 800, 780, 608, 901?

You can find a detailed procedure to find GCD of 800, 780, 608, 901 on our page.

3. How to find GCD of 800, 780, 608, 901 on a calculator?

You can find the GCD of 800, 780, 608, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.