GCD of 110, 738, 779, 355 Calculator

Given Input numbers are 110, 738, 779, 355

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

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

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 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 110, 738, 779, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 738, 779, 355 is 1.

Therefore, GCD of numbers 110, 738, 779, 355 is 1

Given Input Data is 110, 738, 779, 355

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

Prime Factorization of 110 is 2 x 5 x 11

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

Prime Factorization of 779 is 19 x 41

Prime Factorization of 355 is 5 x 71

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(110, 738) = 40590

GCD(110, 738) = ( 110 x 738 ) / 40590

GCD(110, 738) = 81180 / 40590

GCD(110, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 779

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

LCM(2, 779) = 1558

GCD(2, 779) = ( 2 x 779 ) / 1558

GCD(2, 779) = 1558 / 1558

GCD(2, 779) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 110, 738, 779, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 308, 477, 744
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• GCD of 714, 743, 460, 440
• GCD of 553, 208, 239, 503
• GCD of 547, 422, 347, 769

1. What is the GCD of 110, 738, 779, 355?

GCD of 110, 738, 779, 355 is 1

2. Where do I get the detailed procedure to find GCD of 110, 738, 779, 355?

You can find a detailed procedure to find GCD of 110, 738, 779, 355 on our page.

3. How to find GCD of 110, 738, 779, 355 on a calculator?

You can find the GCD of 110, 738, 779, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.