GCD of 828, 270, 77, 555 Calculator

Given Input numbers are 828, 270, 77, 555

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Greatest Common Divisior

We found the divisors of 828, 270, 77, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 270, 77, 555 is 1.

Therefore, GCD of numbers 828, 270, 77, 555 is 1

Given Input Data is 828, 270, 77, 555

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 77 is 7 x 11

Prime Factorization of 555 is 3 x 5 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(828, 270) = 12420

GCD(828, 270) = ( 828 x 270 ) / 12420

GCD(828, 270) = 223560 / 12420

GCD(828, 270) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 77

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

LCM(18, 77) = 1386

GCD(18, 77) = ( 18 x 77 ) / 1386

GCD(18, 77) = 1386 / 1386

GCD(18, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 555

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

LCM(1, 555) = 555

GCD(1, 555) = ( 1 x 555 ) / 555

GCD(1, 555) = 555 / 555

GCD(1, 555) = 1

GCD of 828, 270, 77, 555 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 213, 94, 948
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• GCD of 715, 731, 45, 527
• GCD of 824, 242, 27, 792

1. What is the GCD of 828, 270, 77, 555?

GCD of 828, 270, 77, 555 is 1

2. Where do I get the detailed procedure to find GCD of 828, 270, 77, 555?

You can find a detailed procedure to find GCD of 828, 270, 77, 555 on our page.

3. How to find GCD of 828, 270, 77, 555 on a calculator?

You can find the GCD of 828, 270, 77, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.