GCD of 66, 480, 984, 954 Calculator

Given Input numbers are 66, 480, 984, 954

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 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 66, 480, 984, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 480, 984, 954 is 6.

Therefore, GCD of numbers 66, 480, 984, 954 is 6

Given Input Data is 66, 480, 984, 954

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 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

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, 480) = 5280

GCD(66, 480) = ( 66 x 480 ) / 5280

GCD(66, 480) = 31680 / 5280

GCD(66, 480) = 6

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 954

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

LCM(6, 954) = 954

GCD(6, 954) = ( 6 x 954 ) / 954

GCD(6, 954) = 5724 / 954

GCD(6, 954) = 6

GCD of 66, 480, 984, 954 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 178, 384, 467
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1. What is the GCD of 66, 480, 984, 954?

GCD of 66, 480, 984, 954 is 6

2. Where do I get the detailed procedure to find GCD of 66, 480, 984, 954?

You can find a detailed procedure to find GCD of 66, 480, 984, 954 on our page.

3. How to find GCD of 66, 480, 984, 954 on a calculator?

You can find the GCD of 66, 480, 984, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.