GCD of 659, 264, 82, 747 Calculator

Given Input numbers are 659, 264, 82, 747

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 747

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

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 659, 264, 82, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 264, 82, 747 is 1.

Therefore, GCD of numbers 659, 264, 82, 747 is 1

Given Input Data is 659, 264, 82, 747

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

Prime Factorization of 659 is 659

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 82 is 2 x 41

Prime Factorization of 747 is 3 x 3 x 83

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(659, 264) = 173976

GCD(659, 264) = ( 659 x 264 ) / 173976

GCD(659, 264) = 173976 / 173976

GCD(659, 264) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 659, 264, 82, 747 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 318, 16, 530
• GCD of 208, 567, 53, 355
• GCD of 114, 463, 71, 317
• GCD of 131, 555, 45, 898
• GCD of 921, 207, 61, 908

1. What is the GCD of 659, 264, 82, 747?

GCD of 659, 264, 82, 747 is 1

2. Where do I get the detailed procedure to find GCD of 659, 264, 82, 747?

You can find a detailed procedure to find GCD of 659, 264, 82, 747 on our page.

3. How to find GCD of 659, 264, 82, 747 on a calculator?

You can find the GCD of 659, 264, 82, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.