GCD of 510, 281, 969, 221 Calculator

Given Input numbers are 510, 281, 969, 221

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 510, 281, 969, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 281, 969, 221 is 1.

Therefore, GCD of numbers 510, 281, 969, 221 is 1

Given Input Data is 510, 281, 969, 221

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 281 is 281

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 221 is 13 x 17

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(510, 281) = 143310

GCD(510, 281) = ( 510 x 281 ) / 143310

GCD(510, 281) = 143310 / 143310

GCD(510, 281) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 510, 281, 969, 221 is 1

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1. What is the GCD of 510, 281, 969, 221?

GCD of 510, 281, 969, 221 is 1

2. Where do I get the detailed procedure to find GCD of 510, 281, 969, 221?

You can find a detailed procedure to find GCD of 510, 281, 969, 221 on our page.

3. How to find GCD of 510, 281, 969, 221 on a calculator?

You can find the GCD of 510, 281, 969, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.