GCD of 507, 288, 49, 220 Calculator

Given Input numbers are 507, 288, 49, 220

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 507, 288, 49, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 288, 49, 220 is 1.

Therefore, GCD of numbers 507, 288, 49, 220 is 1

Given Input Data is 507, 288, 49, 220

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 49 is 7 x 7

Prime Factorization of 220 is 2 x 2 x 5 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(507, 288) = 48672

GCD(507, 288) = ( 507 x 288 ) / 48672

GCD(507, 288) = 146016 / 48672

GCD(507, 288) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 49

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

LCM(3, 49) = 147

GCD(3, 49) = ( 3 x 49 ) / 147

GCD(3, 49) = 147 / 147

GCD(3, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 507, 288, 49, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 169, 45, 451
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• GCD of 433, 709, 87, 211

1. What is the GCD of 507, 288, 49, 220?

GCD of 507, 288, 49, 220 is 1

2. Where do I get the detailed procedure to find GCD of 507, 288, 49, 220?

You can find a detailed procedure to find GCD of 507, 288, 49, 220 on our page.

3. How to find GCD of 507, 288, 49, 220 on a calculator?

You can find the GCD of 507, 288, 49, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.