GCD of 662, 526, 99, 723 Calculator

Given Input numbers are 662, 526, 99, 723

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

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 662, 526, 99, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 662, 526, 99, 723 is 1.

Therefore, GCD of numbers 662, 526, 99, 723 is 1

Given Input Data is 662, 526, 99, 723

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

Prime Factorization of 662 is 2 x 331

Prime Factorization of 526 is 2 x 263

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 723 is 3 x 241

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(662, 526) = 174106

GCD(662, 526) = ( 662 x 526 ) / 174106

GCD(662, 526) = 348212 / 174106

GCD(662, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 662, 526, 99, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 738, 42, 883
• GCD of 273, 616, 43, 325
• GCD of 751, 120, 12, 977
• GCD of 940, 353, 61, 925
• GCD of 677, 938, 79, 726

1. What is the GCD of 662, 526, 99, 723?

GCD of 662, 526, 99, 723 is 1

2. Where do I get the detailed procedure to find GCD of 662, 526, 99, 723?

You can find a detailed procedure to find GCD of 662, 526, 99, 723 on our page.

3. How to find GCD of 662, 526, 99, 723 on a calculator?

You can find the GCD of 662, 526, 99, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.