GCD of 997, 900, 628, 146 Calculator

Given Input numbers are 997, 900, 628, 146

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 628

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

1, 2, 4, 157, 314, 628

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 997, 900, 628, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 900, 628, 146 is 1.

Therefore, GCD of numbers 997, 900, 628, 146 is 1

Given Input Data is 997, 900, 628, 146

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

Prime Factorization of 997 is 997

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 146 is 2 x 73

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(997, 900) = 897300

GCD(997, 900) = ( 997 x 900 ) / 897300

GCD(997, 900) = 897300 / 897300

GCD(997, 900) = 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 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

GCD of 997, 900, 628, 146 is 1

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1. What is the GCD of 997, 900, 628, 146?

GCD of 997, 900, 628, 146 is 1

2. Where do I get the detailed procedure to find GCD of 997, 900, 628, 146?

You can find a detailed procedure to find GCD of 997, 900, 628, 146 on our page.

3. How to find GCD of 997, 900, 628, 146 on a calculator?

You can find the GCD of 997, 900, 628, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.