GCD of 55, 265, 310, 102 Calculator

Given Input numbers are 55, 265, 310, 102

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

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 55, 265, 310, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 265, 310, 102 is 1.

Therefore, GCD of numbers 55, 265, 310, 102 is 1

Given Input Data is 55, 265, 310, 102

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 265 is 5 x 53

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 102 is 2 x 3 x 17

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(55, 265) = 2915

GCD(55, 265) = ( 55 x 265 ) / 2915

GCD(55, 265) = 14575 / 2915

GCD(55, 265) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 310

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

LCM(5, 310) = 310

GCD(5, 310) = ( 5 x 310 ) / 310

GCD(5, 310) = 1550 / 310

GCD(5, 310) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 102

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

LCM(5, 102) = 510

GCD(5, 102) = ( 5 x 102 ) / 510

GCD(5, 102) = 510 / 510

GCD(5, 102) = 1

GCD of 55, 265, 310, 102 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 690, 137, 202
• GCD of 33, 365, 714, 711
• GCD of 56, 318, 335, 171
• GCD of 68, 508, 251, 412
• GCD of 30, 139, 736, 599

1. What is the GCD of 55, 265, 310, 102?

GCD of 55, 265, 310, 102 is 1

2. Where do I get the detailed procedure to find GCD of 55, 265, 310, 102?

You can find a detailed procedure to find GCD of 55, 265, 310, 102 on our page.

3. How to find GCD of 55, 265, 310, 102 on a calculator?

You can find the GCD of 55, 265, 310, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.