GCD of 901, 734, 628, 990 Calculator

Given Input numbers are 901, 734, 628, 990

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

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 734

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

1, 2, 367, 734

Divisors of 628

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

1, 2, 4, 157, 314, 628

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 901, 734, 628, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 734, 628, 990 is 1.

Therefore, GCD of numbers 901, 734, 628, 990 is 1

Given Input Data is 901, 734, 628, 990

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 734 is 2 x 367

Prime Factorization of 628 is 2 x 2 x 157

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(901, 734) = 661334

GCD(901, 734) = ( 901 x 734 ) / 661334

GCD(901, 734) = 661334 / 661334

GCD(901, 734) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 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 901, 734, 628, 990 is 1

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1. What is the GCD of 901, 734, 628, 990?

GCD of 901, 734, 628, 990 is 1

2. Where do I get the detailed procedure to find GCD of 901, 734, 628, 990?

You can find a detailed procedure to find GCD of 901, 734, 628, 990 on our page.

3. How to find GCD of 901, 734, 628, 990 on a calculator?

You can find the GCD of 901, 734, 628, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.