GCD of 300, 355, 56, 734 Calculator

Given Input numbers are 300, 355, 56, 734

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 355

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

1, 5, 71, 355

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 300, 355, 56, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 355, 56, 734 is 1.

Therefore, GCD of numbers 300, 355, 56, 734 is 1

Given Input Data is 300, 355, 56, 734

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 355 is 5 x 71

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 734 is 2 x 367

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(300, 355) = 21300

GCD(300, 355) = ( 300 x 355 ) / 21300

GCD(300, 355) = 106500 / 21300

GCD(300, 355) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 56

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

LCM(5, 56) = 280

GCD(5, 56) = ( 5 x 56 ) / 280

GCD(5, 56) = 280 / 280

GCD(5, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 300, 355, 56, 734 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 101, 69, 841
• GCD of 729, 856, 60, 194
• GCD of 721, 446, 88, 182
• GCD of 578, 614, 62, 422
• GCD of 524, 631, 18, 906

1. What is the GCD of 300, 355, 56, 734?

GCD of 300, 355, 56, 734 is 1

2. Where do I get the detailed procedure to find GCD of 300, 355, 56, 734?

You can find a detailed procedure to find GCD of 300, 355, 56, 734 on our page.

3. How to find GCD of 300, 355, 56, 734 on a calculator?

You can find the GCD of 300, 355, 56, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.