GCD of 66, 864, 150, 984 Calculator

Given Input numbers are 66, 864, 150, 984

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 66, 864, 150, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 864, 150, 984 is 6.

Therefore, GCD of numbers 66, 864, 150, 984 is 6

Given Input Data is 66, 864, 150, 984

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

Prime Factorization of 66 is 2 x 3 x 11

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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(66, 864) = 9504

GCD(66, 864) = ( 66 x 864 ) / 9504

GCD(66, 864) = 57024 / 9504

GCD(66, 864) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 150

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

LCM(6, 150) = 150

GCD(6, 150) = ( 6 x 150 ) / 150

GCD(6, 150) = 900 / 150

GCD(6, 150) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 984

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

LCM(6, 984) = 984

GCD(6, 984) = ( 6 x 984 ) / 984

GCD(6, 984) = 5904 / 984

GCD(6, 984) = 6

GCD of 66, 864, 150, 984 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 258, 475, 940
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• GCD of 50, 910, 423, 290
• GCD of 39, 636, 202, 551
• GCD of 20, 565, 433, 558

1. What is the GCD of 66, 864, 150, 984?

GCD of 66, 864, 150, 984 is 6

2. Where do I get the detailed procedure to find GCD of 66, 864, 150, 984?

You can find a detailed procedure to find GCD of 66, 864, 150, 984 on our page.

3. How to find GCD of 66, 864, 150, 984 on a calculator?

You can find the GCD of 66, 864, 150, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.