GCD of 60, 808, 800, 882 Calculator

Given Input numbers are 60, 808, 800, 882

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

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 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Greatest Common Divisior

We found the divisors of 60, 808, 800, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 808, 800, 882 is 2.

Therefore, GCD of numbers 60, 808, 800, 882 is 2

Given Input Data is 60, 808, 800, 882

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 808 is 2 x 2 x 2 x 101

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(60, 808) = 12120

GCD(60, 808) = ( 60 x 808 ) / 12120

GCD(60, 808) = 48480 / 12120

GCD(60, 808) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 800

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

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

GCD(4, 800) = 3200 / 800

GCD(4, 800) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 882

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

LCM(4, 882) = 1764

GCD(4, 882) = ( 4 x 882 ) / 1764

GCD(4, 882) = 3528 / 1764

GCD(4, 882) = 2

GCD of 60, 808, 800, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 736, 395, 633
• GCD of 23, 382, 888, 510
• GCD of 31, 291, 948, 162
• GCD of 22, 915, 212, 329
• GCD of 98, 520, 881, 618

1. What is the GCD of 60, 808, 800, 882?

GCD of 60, 808, 800, 882 is 2

2. Where do I get the detailed procedure to find GCD of 60, 808, 800, 882?

You can find a detailed procedure to find GCD of 60, 808, 800, 882 on our page.

3. How to find GCD of 60, 808, 800, 882 on a calculator?

You can find the GCD of 60, 808, 800, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.