GCD of 261, 542, 76, 824 Calculator

Given Input numbers are 261, 542, 76, 824

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 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 261, 542, 76, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 542, 76, 824 is 1.

Therefore, GCD of numbers 261, 542, 76, 824 is 1

Given Input Data is 261, 542, 76, 824

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 542 is 2 x 271

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 824 is 2 x 2 x 2 x 103

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, 542) = 141462

GCD(261, 542) = ( 261 x 542 ) / 141462

GCD(261, 542) = 141462 / 141462

GCD(261, 542) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 261, 542, 76, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 905, 35, 931
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• GCD of 607, 472, 48, 983

1. What is the GCD of 261, 542, 76, 824?

GCD of 261, 542, 76, 824 is 1

2. Where do I get the detailed procedure to find GCD of 261, 542, 76, 824?

You can find a detailed procedure to find GCD of 261, 542, 76, 824 on our page.

3. How to find GCD of 261, 542, 76, 824 on a calculator?

You can find the GCD of 261, 542, 76, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.