GCD of 470, 108, 949, 264 Calculator

Given Input numbers are 470, 108, 949, 264

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 470, 108, 949, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 108, 949, 264 is 1.

Therefore, GCD of numbers 470, 108, 949, 264 is 1

Given Input Data is 470, 108, 949, 264

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 949 is 13 x 73

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(470, 108) = 25380

GCD(470, 108) = ( 470 x 108 ) / 25380

GCD(470, 108) = 50760 / 25380

GCD(470, 108) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 949

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

LCM(2, 949) = 1898

GCD(2, 949) = ( 2 x 949 ) / 1898

GCD(2, 949) = 1898 / 1898

GCD(2, 949) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 470, 108, 949, 264 is 1

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1. What is the GCD of 470, 108, 949, 264?

GCD of 470, 108, 949, 264 is 1

2. Where do I get the detailed procedure to find GCD of 470, 108, 949, 264?

You can find a detailed procedure to find GCD of 470, 108, 949, 264 on our page.

3. How to find GCD of 470, 108, 949, 264 on a calculator?

You can find the GCD of 470, 108, 949, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.