GCD of 735, 666, 864 Calculator

Given Input numbers are 735, 666, 864

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 735, 666, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 666, 864 is 3.

Therefore, GCD of numbers 735, 666, 864 is 3

Given Input Data is 735, 666, 864

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(735, 666) = 163170

GCD(735, 666) = ( 735 x 666 ) / 163170

GCD(735, 666) = 489510 / 163170

GCD(735, 666) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 864

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

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

GCD(3, 864) = 2592 / 864

GCD(3, 864) = 3

GCD of 735, 666, 864 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 749, 407
• GCD of 504, 847, 221
• GCD of 347, 715, 401
• GCD of 331, 235, 607
• GCD of 276, 344, 693

1. What is the GCD of 735, 666, 864?

GCD of 735, 666, 864 is 3

2. Where do I get the detailed procedure to find GCD of 735, 666, 864?

You can find a detailed procedure to find GCD of 735, 666, 864 on our page.

3. How to find GCD of 735, 666, 864 on a calculator?

You can find the GCD of 735, 666, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.