GCD of 928, 450, 198, 743 Calculator

Given Input numbers are 928, 450, 198, 743

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 928, 450, 198, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 450, 198, 743 is 1.

Therefore, GCD of numbers 928, 450, 198, 743 is 1

Given Input Data is 928, 450, 198, 743

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 743 is 743

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(928, 450) = 208800

GCD(928, 450) = ( 928 x 450 ) / 208800

GCD(928, 450) = 417600 / 208800

GCD(928, 450) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 198

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

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

GCD(2, 198) = 396 / 198

GCD(2, 198) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 743

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

LCM(2, 743) = 1486

GCD(2, 743) = ( 2 x 743 ) / 1486

GCD(2, 743) = 1486 / 1486

GCD(2, 743) = 1

GCD of 928, 450, 198, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 517, 450, 404
• GCD of 658, 388, 142, 226
• GCD of 393, 310, 186, 628
• GCD of 316, 292, 927, 894
• GCD of 247, 506, 481, 815

1. What is the GCD of 928, 450, 198, 743?

GCD of 928, 450, 198, 743 is 1

2. Where do I get the detailed procedure to find GCD of 928, 450, 198, 743?

You can find a detailed procedure to find GCD of 928, 450, 198, 743 on our page.

3. How to find GCD of 928, 450, 198, 743 on a calculator?

You can find the GCD of 928, 450, 198, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.