GCD of 276, 660, 42 Calculator

Given Input numbers are 276, 660, 42

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 42

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

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

Greatest Common Divisior

We found the divisors of 276, 660, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 660, 42 is 6.

Therefore, GCD of numbers 276, 660, 42 is 6

Given Input Data is 276, 660, 42

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 42 is 2 x 3 x 7

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(276, 660) = 15180

GCD(276, 660) = ( 276 x 660 ) / 15180

GCD(276, 660) = 182160 / 15180

GCD(276, 660) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 42

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

LCM(12, 42) = 84

GCD(12, 42) = ( 12 x 42 ) / 84

GCD(12, 42) = 504 / 84

GCD(12, 42) = 6

GCD of 276, 660, 42 is 6

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1. What is the GCD of 276, 660, 42?

GCD of 276, 660, 42 is 6

2. Where do I get the detailed procedure to find GCD of 276, 660, 42?

You can find a detailed procedure to find GCD of 276, 660, 42 on our page.

3. How to find GCD of 276, 660, 42 on a calculator?

You can find the GCD of 276, 660, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.