GCD of 747, 582, 42, 261 Calculator

Given Input numbers are 747, 582, 42, 261

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 261

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

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 747, 582, 42, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 582, 42, 261 is 3.

Therefore, GCD of numbers 747, 582, 42, 261 is 3

Given Input Data is 747, 582, 42, 261

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 261 is 3 x 3 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(747, 582) = 144918

GCD(747, 582) = ( 747 x 582 ) / 144918

GCD(747, 582) = 434754 / 144918

GCD(747, 582) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 261

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

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

GCD(3, 261) = 783 / 261

GCD(3, 261) = 3

GCD of 747, 582, 42, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 688, 36, 487
• GCD of 954, 227, 26, 367
• GCD of 738, 264, 32, 352
• GCD of 596, 139, 28, 177
• GCD of 477, 413, 81, 697

1. What is the GCD of 747, 582, 42, 261?

GCD of 747, 582, 42, 261 is 3

2. Where do I get the detailed procedure to find GCD of 747, 582, 42, 261?

You can find a detailed procedure to find GCD of 747, 582, 42, 261 on our page.

3. How to find GCD of 747, 582, 42, 261 on a calculator?

You can find the GCD of 747, 582, 42, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.