GCD of 44, 58, 46, 54 Calculator

Given Input numbers are 44, 58, 46, 54

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 44, 58, 46, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 58, 46, 54 is 2.

Therefore, GCD of numbers 44, 58, 46, 54 is 2

Given Input Data is 44, 58, 46, 54

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 58 is 2 x 29

Prime Factorization of 46 is 2 x 23

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(44, 58) = 1276

GCD(44, 58) = ( 44 x 58 ) / 1276

GCD(44, 58) = 2552 / 1276

GCD(44, 58) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

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

GCD of 44, 58, 46, 54 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 71, 52, 38
• GCD of 77, 31, 81, 41
• GCD of 61, 27, 12, 62
• GCD of 22, 98, 87, 42
• GCD of 93, 21, 85, 48

1. What is the GCD of 44, 58, 46, 54?

GCD of 44, 58, 46, 54 is 2

2. Where do I get the detailed procedure to find GCD of 44, 58, 46, 54?

You can find a detailed procedure to find GCD of 44, 58, 46, 54 on our page.

3. How to find GCD of 44, 58, 46, 54 on a calculator?

You can find the GCD of 44, 58, 46, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.