GCD of 42, 33, 46, 60 Calculator

Given Input numbers are 42, 33, 46, 60

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 46

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

1, 2, 23, 46

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Greatest Common Divisior

We found the divisors of 42, 33, 46, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 33, 46, 60 is 1.

Therefore, GCD of numbers 42, 33, 46, 60 is 1

Given Input Data is 42, 33, 46, 60

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 33 is 3 x 11

Prime Factorization of 46 is 2 x 23

Prime Factorization of 60 is 2 x 2 x 3 x 5

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(42, 33) = 462

GCD(42, 33) = ( 42 x 33 ) / 462

GCD(42, 33) = 1386 / 462

GCD(42, 33) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 46

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

LCM(3, 46) = 138

GCD(3, 46) = ( 3 x 46 ) / 138

GCD(3, 46) = 138 / 138

GCD(3, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

GCD of 42, 33, 46, 60 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 17, 71, 57
• GCD of 45, 86, 36, 57
• GCD of 67, 77, 37, 70
• GCD of 56, 28, 84, 23
• GCD of 94, 79, 72, 10

1. What is the GCD of 42, 33, 46, 60?

GCD of 42, 33, 46, 60 is 1

2. Where do I get the detailed procedure to find GCD of 42, 33, 46, 60?

You can find a detailed procedure to find GCD of 42, 33, 46, 60 on our page.

3. How to find GCD of 42, 33, 46, 60 on a calculator?

You can find the GCD of 42, 33, 46, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.