GCD of 46, 54, 10 Calculator

Given Input numbers are 46, 54, 10

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

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 46, 54, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 54, 10 is 2.

Therefore, GCD of numbers 46, 54, 10 is 2

Given Input Data is 46, 54, 10

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

Prime Factorization of 46 is 2 x 23

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

Prime Factorization of 10 is 2 x 5

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(46, 54) = 1242

GCD(46, 54) = ( 46 x 54 ) / 1242

GCD(46, 54) = 2484 / 1242

GCD(46, 54) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

GCD of 46, 54, 10 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 61, 41
• GCD of 55, 30, 73
• GCD of 29, 77, 55
• GCD of 50, 29, 89
• GCD of 21, 66, 14

1. What is the GCD of 46, 54, 10?

GCD of 46, 54, 10 is 2

2. Where do I get the detailed procedure to find GCD of 46, 54, 10?

You can find a detailed procedure to find GCD of 46, 54, 10 on our page.

3. How to find GCD of 46, 54, 10 on a calculator?

You can find the GCD of 46, 54, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.