GCD of 736, 398, 36, 803 Calculator

Given Input numbers are 736, 398, 36, 803

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Greatest Common Divisior

We found the divisors of 736, 398, 36, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 398, 36, 803 is 1.

Therefore, GCD of numbers 736, 398, 36, 803 is 1

Given Input Data is 736, 398, 36, 803

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 398 is 2 x 199

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 803 is 11 x 73

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(736, 398) = 146464

GCD(736, 398) = ( 736 x 398 ) / 146464

GCD(736, 398) = 292928 / 146464

GCD(736, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 803

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

LCM(2, 803) = 1606

GCD(2, 803) = ( 2 x 803 ) / 1606

GCD(2, 803) = 1606 / 1606

GCD(2, 803) = 1

GCD of 736, 398, 36, 803 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 951, 16, 637
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• GCD of 936, 736, 82, 891
• GCD of 386, 206, 25, 212
• GCD of 294, 249, 12, 654

1. What is the GCD of 736, 398, 36, 803?

GCD of 736, 398, 36, 803 is 1

2. Where do I get the detailed procedure to find GCD of 736, 398, 36, 803?

You can find a detailed procedure to find GCD of 736, 398, 36, 803 on our page.

3. How to find GCD of 736, 398, 36, 803 on a calculator?

You can find the GCD of 736, 398, 36, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.