GCD of 631, 997, 145, 100 Calculator

Given Input numbers are 631, 997, 145, 100

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

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Divisors of 997

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

1, 997

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 631, 997, 145, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 631, 997, 145, 100 is 1.

Therefore, GCD of numbers 631, 997, 145, 100 is 1

Given Input Data is 631, 997, 145, 100

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

Prime Factorization of 631 is 631

Prime Factorization of 997 is 997

Prime Factorization of 145 is 5 x 29

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(631, 997) = 629107

GCD(631, 997) = ( 631 x 997 ) / 629107

GCD(631, 997) = 629107 / 629107

GCD(631, 997) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 631, 997, 145, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 836, 207, 812
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• GCD of 135, 573, 452, 434

1. What is the GCD of 631, 997, 145, 100?

GCD of 631, 997, 145, 100 is 1

2. Where do I get the detailed procedure to find GCD of 631, 997, 145, 100?

You can find a detailed procedure to find GCD of 631, 997, 145, 100 on our page.

3. How to find GCD of 631, 997, 145, 100 on a calculator?

You can find the GCD of 631, 997, 145, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.