GCD of 55, 65, 34, 54 Calculator

Given Input numbers are 55, 65, 34, 54

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 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Greatest Common Divisior

We found the divisors of 55, 65, 34, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 65, 34, 54 is 1.

Therefore, GCD of numbers 55, 65, 34, 54 is 1

Given Input Data is 55, 65, 34, 54

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 65 is 5 x 13

Prime Factorization of 34 is 2 x 17

Prime Factorization of 54 is 2 x 3 x 3 x 3

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, 65) = 715

GCD(55, 65) = ( 55 x 65 ) / 715

GCD(55, 65) = 3575 / 715

GCD(55, 65) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 34

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

LCM(5, 34) = 170

GCD(5, 34) = ( 5 x 34 ) / 170

GCD(5, 34) = 170 / 170

GCD(5, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

GCD of 55, 65, 34, 54 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 36, 65, 88
• GCD of 33, 70, 53, 60
• GCD of 23, 45, 33, 64
• GCD of 48, 84, 74, 91
• GCD of 87, 54, 70, 53

1. What is the GCD of 55, 65, 34, 54?

GCD of 55, 65, 34, 54 is 1

2. Where do I get the detailed procedure to find GCD of 55, 65, 34, 54?

You can find a detailed procedure to find GCD of 55, 65, 34, 54 on our page.

3. How to find GCD of 55, 65, 34, 54 on a calculator?

You can find the GCD of 55, 65, 34, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.