GCD of 364, 120, 479, 464 Calculator

Given Input numbers are 364, 120, 479, 464

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 479

List of positive integer divisors of 479 that divides 479 without a remainder.

1, 479

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 364, 120, 479, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 120, 479, 464 is 1.

Therefore, GCD of numbers 364, 120, 479, 464 is 1

Given Input Data is 364, 120, 479, 464

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 479 is 479

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(364, 120) = 10920

GCD(364, 120) = ( 364 x 120 ) / 10920

GCD(364, 120) = 43680 / 10920

GCD(364, 120) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 479

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

LCM(4, 479) = 1916

GCD(4, 479) = ( 4 x 479 ) / 1916

GCD(4, 479) = 1916 / 1916

GCD(4, 479) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

GCD of 364, 120, 479, 464 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 985, 273, 328
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• GCD of 822, 832, 483, 960
• GCD of 343, 191, 705, 537
• GCD of 739, 195, 830, 258

1. What is the GCD of 364, 120, 479, 464?

GCD of 364, 120, 479, 464 is 1

2. Where do I get the detailed procedure to find GCD of 364, 120, 479, 464?

You can find a detailed procedure to find GCD of 364, 120, 479, 464 on our page.

3. How to find GCD of 364, 120, 479, 464 on a calculator?

You can find the GCD of 364, 120, 479, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.