GCD of 744, 741, 51, 876 Calculator

Given Input numbers are 744, 741, 51, 876

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

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 744, 741, 51, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 741, 51, 876 is 3.

Therefore, GCD of numbers 744, 741, 51, 876 is 3

Given Input Data is 744, 741, 51, 876

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

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 51 is 3 x 17

Prime Factorization of 876 is 2 x 2 x 3 x 73

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(744, 741) = 183768

GCD(744, 741) = ( 744 x 741 ) / 183768

GCD(744, 741) = 551304 / 183768

GCD(744, 741) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 876

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

LCM(3, 876) = 876

GCD(3, 876) = ( 3 x 876 ) / 876

GCD(3, 876) = 2628 / 876

GCD(3, 876) = 3

GCD of 744, 741, 51, 876 is 3

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1. What is the GCD of 744, 741, 51, 876?

GCD of 744, 741, 51, 876 is 3

2. Where do I get the detailed procedure to find GCD of 744, 741, 51, 876?

You can find a detailed procedure to find GCD of 744, 741, 51, 876 on our page.

3. How to find GCD of 744, 741, 51, 876 on a calculator?

You can find the GCD of 744, 741, 51, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.