GCD of 261, 538, 77, 631 Calculator

Given Input numbers are 261, 538, 77, 631

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 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Greatest Common Divisior

We found the divisors of 261, 538, 77, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 538, 77, 631 is 1.

Therefore, GCD of numbers 261, 538, 77, 631 is 1

Given Input Data is 261, 538, 77, 631

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 538 is 2 x 269

Prime Factorization of 77 is 7 x 11

Prime Factorization of 631 is 631

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, 538) = 140418

GCD(261, 538) = ( 261 x 538 ) / 140418

GCD(261, 538) = 140418 / 140418

GCD(261, 538) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 631

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

LCM(1, 631) = 631

GCD(1, 631) = ( 1 x 631 ) / 631

GCD(1, 631) = 631 / 631

GCD(1, 631) = 1

GCD of 261, 538, 77, 631 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 945, 78, 808
• GCD of 360, 789, 52, 138
• GCD of 365, 847, 12, 385
• GCD of 165, 448, 61, 461
• GCD of 460, 180, 41, 931

1. What is the GCD of 261, 538, 77, 631?

GCD of 261, 538, 77, 631 is 1

2. Where do I get the detailed procedure to find GCD of 261, 538, 77, 631?

You can find a detailed procedure to find GCD of 261, 538, 77, 631 on our page.

3. How to find GCD of 261, 538, 77, 631 on a calculator?

You can find the GCD of 261, 538, 77, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.