GCD of 774, 628, 899, 752 Calculator

Given Input numbers are 774, 628, 899, 752

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 774, 628, 899, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 628, 899, 752 is 1.

Therefore, GCD of numbers 774, 628, 899, 752 is 1

Given Input Data is 774, 628, 899, 752

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 899 is 29 x 31

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(774, 628) = 243036

GCD(774, 628) = ( 774 x 628 ) / 243036

GCD(774, 628) = 486072 / 243036

GCD(774, 628) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 774, 628, 899, 752 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 717, 986, 119
• GCD of 271, 557, 877, 713
• GCD of 707, 117, 317, 642
• GCD of 907, 299, 266, 241
• GCD of 300, 803, 665, 162

1. What is the GCD of 774, 628, 899, 752?

GCD of 774, 628, 899, 752 is 1

2. Where do I get the detailed procedure to find GCD of 774, 628, 899, 752?

You can find a detailed procedure to find GCD of 774, 628, 899, 752 on our page.

3. How to find GCD of 774, 628, 899, 752 on a calculator?

You can find the GCD of 774, 628, 899, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.