GCD of 738, 608, 349, 116 Calculator

Given Input numbers are 738, 608, 349, 116

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 738, 608, 349, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 608, 349, 116 is 1.

Therefore, GCD of numbers 738, 608, 349, 116 is 1

Given Input Data is 738, 608, 349, 116

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 349 is 349

Prime Factorization of 116 is 2 x 2 x 29

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(738, 608) = 224352

GCD(738, 608) = ( 738 x 608 ) / 224352

GCD(738, 608) = 448704 / 224352

GCD(738, 608) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 349

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

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

GCD(2, 349) = 698 / 698

GCD(2, 349) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 738, 608, 349, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 369, 726, 289
• GCD of 155, 382, 216, 674
• GCD of 517, 753, 477, 805
• GCD of 658, 292, 943, 676
• GCD of 836, 466, 606, 409

1. What is the GCD of 738, 608, 349, 116?

GCD of 738, 608, 349, 116 is 1

2. Where do I get the detailed procedure to find GCD of 738, 608, 349, 116?

You can find a detailed procedure to find GCD of 738, 608, 349, 116 on our page.

3. How to find GCD of 738, 608, 349, 116 on a calculator?

You can find the GCD of 738, 608, 349, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.