GCD of 55, 8, 14, 49 Calculator

Given Input numbers are 55, 8, 14, 49

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 8

List of positive integer divisors of 8 that divides 8 without a remainder.

1, 2, 4, 8

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Greatest Common Divisior

We found the divisors of 55, 8, 14, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 8, 14, 49 is 1.

Therefore, GCD of numbers 55, 8, 14, 49 is 1

Given Input Data is 55, 8, 14, 49

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 8 is 2 x 2 x 2

Prime Factorization of 14 is 2 x 7

Prime Factorization of 49 is 7 x 7

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, 8) = 440

GCD(55, 8) = ( 55 x 8 ) / 440

GCD(55, 8) = 440 / 440

GCD(55, 8) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

GCD of 55, 8, 14, 49 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 2, 78, 97
• GCD of 57, 5, 97, 77
• GCD of 87, 4, 49, 94
• GCD of 80, 4, 48, 26
• GCD of 97, 1, 58, 56

1. What is the GCD of 55, 8, 14, 49?

GCD of 55, 8, 14, 49 is 1

2. Where do I get the detailed procedure to find GCD of 55, 8, 14, 49?

You can find a detailed procedure to find GCD of 55, 8, 14, 49 on our page.

3. How to find GCD of 55, 8, 14, 49 on a calculator?

You can find the GCD of 55, 8, 14, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.