GCD of 777, 756, 81, 264 Calculator

Given Input numbers are 777, 756, 81, 264

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

Divisors of 777

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

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 777, 756, 81, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 756, 81, 264 is 3.

Therefore, GCD of numbers 777, 756, 81, 264 is 3

Given Input Data is 777, 756, 81, 264

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

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(777, 756) = 27972

GCD(777, 756) = ( 777 x 756 ) / 27972

GCD(777, 756) = 587412 / 27972

GCD(777, 756) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 81

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

LCM(21, 81) = 567

GCD(21, 81) = ( 21 x 81 ) / 567

GCD(21, 81) = 1701 / 567

GCD(21, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 264

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

LCM(3, 264) = 264

GCD(3, 264) = ( 3 x 264 ) / 264

GCD(3, 264) = 792 / 264

GCD(3, 264) = 3

GCD of 777, 756, 81, 264 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 725, 48, 778
• GCD of 572, 746, 91, 467
• GCD of 619, 228, 52, 715
• GCD of 223, 327, 94, 192
• GCD of 357, 228, 80, 460

1. What is the GCD of 777, 756, 81, 264?

GCD of 777, 756, 81, 264 is 3

2. Where do I get the detailed procedure to find GCD of 777, 756, 81, 264?

You can find a detailed procedure to find GCD of 777, 756, 81, 264 on our page.

3. How to find GCD of 777, 756, 81, 264 on a calculator?

You can find the GCD of 777, 756, 81, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.