GCD of 628, 914, 161, 990 Calculator

Given Input numbers are 628, 914, 161, 990

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

Divisors of 628

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

1, 2, 4, 157, 314, 628

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 628, 914, 161, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 914, 161, 990 is 1.

Therefore, GCD of numbers 628, 914, 161, 990 is 1

Given Input Data is 628, 914, 161, 990

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 914 is 2 x 457

Prime Factorization of 161 is 7 x 23

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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(628, 914) = 286996

GCD(628, 914) = ( 628 x 914 ) / 286996

GCD(628, 914) = 573992 / 286996

GCD(628, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 161

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

LCM(2, 161) = 322

GCD(2, 161) = ( 2 x 161 ) / 322

GCD(2, 161) = 322 / 322

GCD(2, 161) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 628, 914, 161, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 296, 147, 194
• GCD of 270, 426, 210, 200
• GCD of 304, 681, 440, 420
• GCD of 401, 204, 908, 391
• GCD of 214, 826, 972, 314

1. What is the GCD of 628, 914, 161, 990?

GCD of 628, 914, 161, 990 is 1

2. Where do I get the detailed procedure to find GCD of 628, 914, 161, 990?

You can find a detailed procedure to find GCD of 628, 914, 161, 990 on our page.

3. How to find GCD of 628, 914, 161, 990 on a calculator?

You can find the GCD of 628, 914, 161, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.