GCD of 110, 524, 69, 258 Calculator

Given Input numbers are 110, 524, 69, 258

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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 110, 524, 69, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 524, 69, 258 is 1.

Therefore, GCD of numbers 110, 524, 69, 258 is 1

Given Input Data is 110, 524, 69, 258

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 524 is 2 x 2 x 131

Prime Factorization of 69 is 3 x 23

Prime Factorization of 258 is 2 x 3 x 43

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, 524) = 28820

GCD(110, 524) = ( 110 x 524 ) / 28820

GCD(110, 524) = 57640 / 28820

GCD(110, 524) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 110, 524, 69, 258 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 348, 79, 901
• GCD of 929, 744, 65, 492
• GCD of 903, 485, 79, 525
• GCD of 376, 843, 83, 470
• GCD of 137, 694, 94, 256

1. What is the GCD of 110, 524, 69, 258?

GCD of 110, 524, 69, 258 is 1

2. Where do I get the detailed procedure to find GCD of 110, 524, 69, 258?

You can find a detailed procedure to find GCD of 110, 524, 69, 258 on our page.

3. How to find GCD of 110, 524, 69, 258 on a calculator?

You can find the GCD of 110, 524, 69, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.