GCD of 480, 409, 118, 862 Calculator

Given Input numbers are 480, 409, 118, 862

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

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 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Greatest Common Divisior

We found the divisors of 480, 409, 118, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 409, 118, 862 is 1.

Therefore, GCD of numbers 480, 409, 118, 862 is 1

Given Input Data is 480, 409, 118, 862

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 409 is 409

Prime Factorization of 118 is 2 x 59

Prime Factorization of 862 is 2 x 431

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(480, 409) = 196320

GCD(480, 409) = ( 480 x 409 ) / 196320

GCD(480, 409) = 196320 / 196320

GCD(480, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 862

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

LCM(1, 862) = 862

GCD(1, 862) = ( 1 x 862 ) / 862

GCD(1, 862) = 862 / 862

GCD(1, 862) = 1

GCD of 480, 409, 118, 862 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 825, 861, 395
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• GCD of 595, 715, 518, 488

1. What is the GCD of 480, 409, 118, 862?

GCD of 480, 409, 118, 862 is 1

2. Where do I get the detailed procedure to find GCD of 480, 409, 118, 862?

You can find a detailed procedure to find GCD of 480, 409, 118, 862 on our page.

3. How to find GCD of 480, 409, 118, 862 on a calculator?

You can find the GCD of 480, 409, 118, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.