GCD of 890, 276, 66, 744 Calculator

Given Input numbers are 890, 276, 66, 744

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

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 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 890, 276, 66, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 276, 66, 744 is 2.

Therefore, GCD of numbers 890, 276, 66, 744 is 2

Given Input Data is 890, 276, 66, 744

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

Prime Factorization of 890 is 2 x 5 x 89

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(890, 276) = 122820

GCD(890, 276) = ( 890 x 276 ) / 122820

GCD(890, 276) = 245640 / 122820

GCD(890, 276) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 744

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

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

GCD(2, 744) = 1488 / 744

GCD(2, 744) = 2

GCD of 890, 276, 66, 744 is 2

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1. What is the GCD of 890, 276, 66, 744?

GCD of 890, 276, 66, 744 is 2

2. Where do I get the detailed procedure to find GCD of 890, 276, 66, 744?

You can find a detailed procedure to find GCD of 890, 276, 66, 744 on our page.

3. How to find GCD of 890, 276, 66, 744 on a calculator?

You can find the GCD of 890, 276, 66, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.