GCD of 202, 199, 55, 480 Calculator

Given Input numbers are 202, 199, 55, 480

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

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

Greatest Common Divisior

We found the divisors of 202, 199, 55, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 199, 55, 480 is 1.

Therefore, GCD of numbers 202, 199, 55, 480 is 1

Given Input Data is 202, 199, 55, 480

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 199 is 199

Prime Factorization of 55 is 5 x 11

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

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(202, 199) = 40198

GCD(202, 199) = ( 202 x 199 ) / 40198

GCD(202, 199) = 40198 / 40198

GCD(202, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 202, 199, 55, 480 is 1

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1. What is the GCD of 202, 199, 55, 480?

GCD of 202, 199, 55, 480 is 1

2. Where do I get the detailed procedure to find GCD of 202, 199, 55, 480?

You can find a detailed procedure to find GCD of 202, 199, 55, 480 on our page.

3. How to find GCD of 202, 199, 55, 480 on a calculator?

You can find the GCD of 202, 199, 55, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.