GCD of 552, 777, 69, 663 Calculator

Given Input numbers are 552, 777, 69, 663

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 552, 777, 69, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 777, 69, 663 is 3.

Therefore, GCD of numbers 552, 777, 69, 663 is 3

Given Input Data is 552, 777, 69, 663

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 69 is 3 x 23

Prime Factorization of 663 is 3 x 13 x 17

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(552, 777) = 142968

GCD(552, 777) = ( 552 x 777 ) / 142968

GCD(552, 777) = 428904 / 142968

GCD(552, 777) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

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

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 663

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

LCM(3, 663) = 663

GCD(3, 663) = ( 3 x 663 ) / 663

GCD(3, 663) = 1989 / 663

GCD(3, 663) = 3

GCD of 552, 777, 69, 663 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 228, 77, 775
• GCD of 721, 354, 15, 592
• GCD of 279, 874, 47, 663
• GCD of 447, 918, 97, 661
• GCD of 367, 599, 11, 118

1. What is the GCD of 552, 777, 69, 663?

GCD of 552, 777, 69, 663 is 3

2. Where do I get the detailed procedure to find GCD of 552, 777, 69, 663?

You can find a detailed procedure to find GCD of 552, 777, 69, 663 on our page.

3. How to find GCD of 552, 777, 69, 663 on a calculator?

You can find the GCD of 552, 777, 69, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.