GCD of 631, 891, 75, 105 Calculator

Given Input numbers are 631, 891, 75, 105

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 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 631, 891, 75, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 631, 891, 75, 105 is 1.

Therefore, GCD of numbers 631, 891, 75, 105 is 1

Given Input Data is 631, 891, 75, 105

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

Prime Factorization of 631 is 631

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 105 is 3 x 5 x 7

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, 891) = 562221

GCD(631, 891) = ( 631 x 891 ) / 562221

GCD(631, 891) = 562221 / 562221

GCD(631, 891) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 631, 891, 75, 105 is 1

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1. What is the GCD of 631, 891, 75, 105?

GCD of 631, 891, 75, 105 is 1

2. Where do I get the detailed procedure to find GCD of 631, 891, 75, 105?

You can find a detailed procedure to find GCD of 631, 891, 75, 105 on our page.

3. How to find GCD of 631, 891, 75, 105 on a calculator?

You can find the GCD of 631, 891, 75, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.