GCD of 960, 168, 666, 900 Calculator

Given Input numbers are 960, 168, 666, 900

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 960, 168, 666, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 168, 666, 900 is 6.

Therefore, GCD of numbers 960, 168, 666, 900 is 6

Given Input Data is 960, 168, 666, 900

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(960, 168) = 6720

GCD(960, 168) = ( 960 x 168 ) / 6720

GCD(960, 168) = 161280 / 6720

GCD(960, 168) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 666

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

LCM(24, 666) = 2664

GCD(24, 666) = ( 24 x 666 ) / 2664

GCD(24, 666) = 15984 / 2664

GCD(24, 666) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 900

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

LCM(6, 900) = 900

GCD(6, 900) = ( 6 x 900 ) / 900

GCD(6, 900) = 5400 / 900

GCD(6, 900) = 6

GCD of 960, 168, 666, 900 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 918, 742, 917
• GCD of 273, 231, 347, 913
• GCD of 849, 607, 890, 699
• GCD of 285, 745, 635, 301
• GCD of 974, 591, 655, 669

1. What is the GCD of 960, 168, 666, 900?

GCD of 960, 168, 666, 900 is 6

2. Where do I get the detailed procedure to find GCD of 960, 168, 666, 900?

You can find a detailed procedure to find GCD of 960, 168, 666, 900 on our page.

3. How to find GCD of 960, 168, 666, 900 on a calculator?

You can find the GCD of 960, 168, 666, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.