GCD of 110, 122, 522, 371 Calculator

Given Input numbers are 110, 122, 522, 371

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

Divisors of 110

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

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

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 110, 122, 522, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 122, 522, 371 is 1.

Therefore, GCD of numbers 110, 122, 522, 371 is 1

Given Input Data is 110, 122, 522, 371

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 122 is 2 x 61

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 371 is 7 x 53

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(110, 122) = 6710

GCD(110, 122) = ( 110 x 122 ) / 6710

GCD(110, 122) = 13420 / 6710

GCD(110, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 522

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

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

GCD(2, 522) = 1044 / 522

GCD(2, 522) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 371

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

LCM(2, 371) = 742

GCD(2, 371) = ( 2 x 371 ) / 742

GCD(2, 371) = 742 / 742

GCD(2, 371) = 1

GCD of 110, 122, 522, 371 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 992, 105, 641
• GCD of 690, 407, 446, 922
• GCD of 294, 897, 131, 761
• GCD of 164, 196, 210, 529
• GCD of 587, 672, 564, 952

1. What is the GCD of 110, 122, 522, 371?

GCD of 110, 122, 522, 371 is 1

2. Where do I get the detailed procedure to find GCD of 110, 122, 522, 371?

You can find a detailed procedure to find GCD of 110, 122, 522, 371 on our page.

3. How to find GCD of 110, 122, 522, 371 on a calculator?

You can find the GCD of 110, 122, 522, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.