GCD of 800, 554, 57, 961 Calculator

Given Input numbers are 800, 554, 57, 961

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 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 800, 554, 57, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 554, 57, 961 is 1.

Therefore, GCD of numbers 800, 554, 57, 961 is 1

Given Input Data is 800, 554, 57, 961

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 554 is 2 x 277

Prime Factorization of 57 is 3 x 19

Prime Factorization of 961 is 31 x 31

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, 554) = 221600

GCD(800, 554) = ( 800 x 554 ) / 221600

GCD(800, 554) = 443200 / 221600

GCD(800, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 800, 554, 57, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 533, 802, 84, 602
• GCD of 176, 551, 85, 603
• GCD of 102, 853, 67, 113
• GCD of 411, 760, 75, 744
• GCD of 725, 774, 28, 556

1. What is the GCD of 800, 554, 57, 961?

GCD of 800, 554, 57, 961 is 1

2. Where do I get the detailed procedure to find GCD of 800, 554, 57, 961?

You can find a detailed procedure to find GCD of 800, 554, 57, 961 on our page.

3. How to find GCD of 800, 554, 57, 961 on a calculator?

You can find the GCD of 800, 554, 57, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.