GCD of 654, 964, 806, 466 Calculator

Given Input numbers are 654, 964, 806, 466

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 654, 964, 806, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 964, 806, 466 is 2.

Therefore, GCD of numbers 654, 964, 806, 466 is 2

Given Input Data is 654, 964, 806, 466

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 466 is 2 x 233

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(654, 964) = 315228

GCD(654, 964) = ( 654 x 964 ) / 315228

GCD(654, 964) = 630456 / 315228

GCD(654, 964) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 806

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

LCM(2, 806) = 806

GCD(2, 806) = ( 2 x 806 ) / 806

GCD(2, 806) = 1612 / 806

GCD(2, 806) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 466

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

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

GCD(2, 466) = 932 / 466

GCD(2, 466) = 2

GCD of 654, 964, 806, 466 is 2

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• GCD of 903, 327, 779, 445
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• GCD of 124, 852, 692, 967

1. What is the GCD of 654, 964, 806, 466?

GCD of 654, 964, 806, 466 is 2

2. Where do I get the detailed procedure to find GCD of 654, 964, 806, 466?

You can find a detailed procedure to find GCD of 654, 964, 806, 466 on our page.

3. How to find GCD of 654, 964, 806, 466 on a calculator?

You can find the GCD of 654, 964, 806, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.