GCD of 54, 69, 41, 83 Calculator

Given Input numbers are 54, 69, 41, 83

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

Divisors of 54

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

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

Divisors of 69

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

1, 3, 23, 69

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Greatest Common Divisior

We found the divisors of 54, 69, 41, 83 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 69, 41, 83 is 1.

Therefore, GCD of numbers 54, 69, 41, 83 is 1

Given Input Data is 54, 69, 41, 83

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

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 41 is 41

Prime Factorization of 83 is 83

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(54, 69) = 1242

GCD(54, 69) = ( 54 x 69 ) / 1242

GCD(54, 69) = 3726 / 1242

GCD(54, 69) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 41

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

LCM(3, 41) = 123

GCD(3, 41) = ( 3 x 41 ) / 123

GCD(3, 41) = 123 / 123

GCD(3, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

GCD of 54, 69, 41, 83 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 83, 57, 41
• GCD of 78, 95, 36, 73
• GCD of 68, 28, 68, 96
• GCD of 21, 86, 24, 93
• GCD of 40, 88, 79, 32

1. What is the GCD of 54, 69, 41, 83?

GCD of 54, 69, 41, 83 is 1

2. Where do I get the detailed procedure to find GCD of 54, 69, 41, 83?

You can find a detailed procedure to find GCD of 54, 69, 41, 83 on our page.

3. How to find GCD of 54, 69, 41, 83 on a calculator?

You can find the GCD of 54, 69, 41, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.