GCD of 264, 723, 35, 402 Calculator

Given Input numbers are 264, 723, 35, 402

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

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 723

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

1, 3, 241, 723

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 264, 723, 35, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 723, 35, 402 is 1.

Therefore, GCD of numbers 264, 723, 35, 402 is 1

Given Input Data is 264, 723, 35, 402

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

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 35 is 5 x 7

Prime Factorization of 402 is 2 x 3 x 67

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(264, 723) = 63624

GCD(264, 723) = ( 264 x 723 ) / 63624

GCD(264, 723) = 190872 / 63624

GCD(264, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 35

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

LCM(3, 35) = 105

GCD(3, 35) = ( 3 x 35 ) / 105

GCD(3, 35) = 105 / 105

GCD(3, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 264, 723, 35, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 891, 29, 458
• GCD of 263, 451, 76, 611
• GCD of 455, 339, 52, 905
• GCD of 572, 660, 96, 671
• GCD of 508, 358, 35, 420

1. What is the GCD of 264, 723, 35, 402?

GCD of 264, 723, 35, 402 is 1

2. Where do I get the detailed procedure to find GCD of 264, 723, 35, 402?

You can find a detailed procedure to find GCD of 264, 723, 35, 402 on our page.

3. How to find GCD of 264, 723, 35, 402 on a calculator?

You can find the GCD of 264, 723, 35, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.