GCD of 466, 172, 960, 649 Calculator

Given Input numbers are 466, 172, 960, 649

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

Divisors of 466

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

1, 2, 233, 466

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

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 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 466, 172, 960, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 172, 960, 649 is 1.

Therefore, GCD of numbers 466, 172, 960, 649 is 1

Given Input Data is 466, 172, 960, 649

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 172 is 2 x 2 x 43

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

Prime Factorization of 649 is 11 x 59

The above numbers do not have any common prime factor. So GCD is 1

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(466, 172) = 40076

GCD(466, 172) = ( 466 x 172 ) / 40076

GCD(466, 172) = 80152 / 40076

GCD(466, 172) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 649

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

LCM(2, 649) = 1298

GCD(2, 649) = ( 2 x 649 ) / 1298

GCD(2, 649) = 1298 / 1298

GCD(2, 649) = 1

GCD of 466, 172, 960, 649 is 1

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1. What is the GCD of 466, 172, 960, 649?

GCD of 466, 172, 960, 649 is 1

2. Where do I get the detailed procedure to find GCD of 466, 172, 960, 649?

You can find a detailed procedure to find GCD of 466, 172, 960, 649 on our page.

3. How to find GCD of 466, 172, 960, 649 on a calculator?

You can find the GCD of 466, 172, 960, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.