GCD of 252, 110, 26, 334 Calculator

Given Input numbers are 252, 110, 26, 334

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 252, 110, 26, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 110, 26, 334 is 2.

Therefore, GCD of numbers 252, 110, 26, 334 is 2

Given Input Data is 252, 110, 26, 334

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 26 is 2 x 13

Prime Factorization of 334 is 2 x 167

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(252, 110) = 13860

GCD(252, 110) = ( 252 x 110 ) / 13860

GCD(252, 110) = 27720 / 13860

GCD(252, 110) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 334

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

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

GCD(2, 334) = 668 / 334

GCD(2, 334) = 2

GCD of 252, 110, 26, 334 is 2

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1. What is the GCD of 252, 110, 26, 334?

GCD of 252, 110, 26, 334 is 2

2. Where do I get the detailed procedure to find GCD of 252, 110, 26, 334?

You can find a detailed procedure to find GCD of 252, 110, 26, 334 on our page.

3. How to find GCD of 252, 110, 26, 334 on a calculator?

You can find the GCD of 252, 110, 26, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.