GCD of 402, 747, 457, 336 Calculator

Given Input numbers are 402, 747, 457, 336

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

Divisors of 402

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

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

Divisors of 747

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

1, 3, 9, 83, 249, 747

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 402, 747, 457, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 747, 457, 336 is 1.

Therefore, GCD of numbers 402, 747, 457, 336 is 1

Given Input Data is 402, 747, 457, 336

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 457 is 457

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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(402, 747) = 100098

GCD(402, 747) = ( 402 x 747 ) / 100098

GCD(402, 747) = 300294 / 100098

GCD(402, 747) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 457

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

LCM(3, 457) = 1371

GCD(3, 457) = ( 3 x 457 ) / 1371

GCD(3, 457) = 1371 / 1371

GCD(3, 457) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 336

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

LCM(1, 336) = 336

GCD(1, 336) = ( 1 x 336 ) / 336

GCD(1, 336) = 336 / 336

GCD(1, 336) = 1

GCD of 402, 747, 457, 336 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 491, 787, 780
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• GCD of 639, 152, 984, 587

1. What is the GCD of 402, 747, 457, 336?

GCD of 402, 747, 457, 336 is 1

2. Where do I get the detailed procedure to find GCD of 402, 747, 457, 336?

You can find a detailed procedure to find GCD of 402, 747, 457, 336 on our page.

3. How to find GCD of 402, 747, 457, 336 on a calculator?

You can find the GCD of 402, 747, 457, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.