GCD of 62, 14, 54, 41 Calculator

Given Input numbers are 62, 14, 54, 41

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

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 14

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

1, 2, 7, 14

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 41

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

1, 41

Greatest Common Divisior

We found the divisors of 62, 14, 54, 41 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 62, 14, 54, 41 is 1.

Therefore, GCD of numbers 62, 14, 54, 41 is 1

Given Input Data is 62, 14, 54, 41

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

Prime Factorization of 62 is 2 x 31

Prime Factorization of 14 is 2 x 7

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

Prime Factorization of 41 is 41

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(62, 14) = 434

GCD(62, 14) = ( 62 x 14 ) / 434

GCD(62, 14) = 868 / 434

GCD(62, 14) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 41

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

LCM(2, 41) = 82

GCD(2, 41) = ( 2 x 41 ) / 82

GCD(2, 41) = 82 / 82

GCD(2, 41) = 1

GCD of 62, 14, 54, 41 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 24, 32, 73
• GCD of 97, 41, 29, 41
• GCD of 84, 24, 23, 81
• GCD of 91, 47, 12, 32
• GCD of 18, 77, 31, 70

1. What is the GCD of 62, 14, 54, 41?

GCD of 62, 14, 54, 41 is 1

2. Where do I get the detailed procedure to find GCD of 62, 14, 54, 41?

You can find a detailed procedure to find GCD of 62, 14, 54, 41 on our page.

3. How to find GCD of 62, 14, 54, 41 on a calculator?

You can find the GCD of 62, 14, 54, 41 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.