GCD of 164, 313, 75, 110 Calculator

Given Input numbers are 164, 313, 75, 110

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 164, 313, 75, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 313, 75, 110 is 1.

Therefore, GCD of numbers 164, 313, 75, 110 is 1

Given Input Data is 164, 313, 75, 110

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 313 is 313

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 110 is 2 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(164, 313) = 51332

GCD(164, 313) = ( 164 x 313 ) / 51332

GCD(164, 313) = 51332 / 51332

GCD(164, 313) = 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 110

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

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

GCD(1, 110) = 110 / 110

GCD(1, 110) = 1

GCD of 164, 313, 75, 110 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 356, 30, 561
• GCD of 679, 803, 88, 627
• GCD of 419, 165, 10, 145
• GCD of 729, 563, 16, 995
• GCD of 763, 259, 53, 595

1. What is the GCD of 164, 313, 75, 110?

GCD of 164, 313, 75, 110 is 1

2. Where do I get the detailed procedure to find GCD of 164, 313, 75, 110?

You can find a detailed procedure to find GCD of 164, 313, 75, 110 on our page.

3. How to find GCD of 164, 313, 75, 110 on a calculator?

You can find the GCD of 164, 313, 75, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.