GCD of 261, 269, 48, 624 Calculator

Given Input numbers are 261, 269, 48, 624

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 261, 269, 48, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 269, 48, 624 is 1.

Therefore, GCD of numbers 261, 269, 48, 624 is 1

Given Input Data is 261, 269, 48, 624

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 269 is 269

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

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(261, 269) = 70209

GCD(261, 269) = ( 261 x 269 ) / 70209

GCD(261, 269) = 70209 / 70209

GCD(261, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 624

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

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

GCD(1, 624) = 624 / 624

GCD(1, 624) = 1

GCD of 261, 269, 48, 624 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 822, 37, 574
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• GCD of 111, 554, 17, 389

1. What is the GCD of 261, 269, 48, 624?

GCD of 261, 269, 48, 624 is 1

2. Where do I get the detailed procedure to find GCD of 261, 269, 48, 624?

You can find a detailed procedure to find GCD of 261, 269, 48, 624 on our page.

3. How to find GCD of 261, 269, 48, 624 on a calculator?

You can find the GCD of 261, 269, 48, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.