GCD of 736, 788, 407, 549 Calculator

Given Input numbers are 736, 788, 407, 549

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 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 736, 788, 407, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 788, 407, 549 is 1.

Therefore, GCD of numbers 736, 788, 407, 549 is 1

Given Input Data is 736, 788, 407, 549

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 788 is 2 x 2 x 197

Prime Factorization of 407 is 11 x 37

Prime Factorization of 549 is 3 x 3 x 61

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, 788) = 144992

GCD(736, 788) = ( 736 x 788 ) / 144992

GCD(736, 788) = 579968 / 144992

GCD(736, 788) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 407

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

LCM(4, 407) = 1628

GCD(4, 407) = ( 4 x 407 ) / 1628

GCD(4, 407) = 1628 / 1628

GCD(4, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 549

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

LCM(1, 549) = 549

GCD(1, 549) = ( 1 x 549 ) / 549

GCD(1, 549) = 549 / 549

GCD(1, 549) = 1

GCD of 736, 788, 407, 549 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 404, 950, 294, 158
• GCD of 402, 730, 326, 187
• GCD of 603, 712, 433, 619
• GCD of 181, 648, 455, 971
• GCD of 754, 606, 471, 232

1. What is the GCD of 736, 788, 407, 549?

GCD of 736, 788, 407, 549 is 1

2. Where do I get the detailed procedure to find GCD of 736, 788, 407, 549?

You can find a detailed procedure to find GCD of 736, 788, 407, 549 on our page.

3. How to find GCD of 736, 788, 407, 549 on a calculator?

You can find the GCD of 736, 788, 407, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.