GCD of 748, 973, 414, 774 Calculator

Given Input numbers are 748, 973, 414, 774

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

Greatest Common Divisior

We found the divisors of 748, 973, 414, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 973, 414, 774 is 1.

Therefore, GCD of numbers 748, 973, 414, 774 is 1

Given Input Data is 748, 973, 414, 774

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 973 is 7 x 139

Prime Factorization of 414 is 2 x 3 x 3 x 23

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

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(748, 973) = 727804

GCD(748, 973) = ( 748 x 973 ) / 727804

GCD(748, 973) = 727804 / 727804

GCD(748, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 748, 973, 414, 774 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 677, 296, 259
• GCD of 140, 274, 385, 254
• GCD of 448, 785, 321, 840
• GCD of 662, 271, 431, 845
• GCD of 507, 775, 228, 885

1. What is the GCD of 748, 973, 414, 774?

GCD of 748, 973, 414, 774 is 1

2. Where do I get the detailed procedure to find GCD of 748, 973, 414, 774?

You can find a detailed procedure to find GCD of 748, 973, 414, 774 on our page.

3. How to find GCD of 748, 973, 414, 774 on a calculator?

You can find the GCD of 748, 973, 414, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.