GCD of 855, 846, 387, 744 Calculator

Given Input numbers are 855, 846, 387, 744

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

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 855, 846, 387, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 846, 387, 744 is 3.

Therefore, GCD of numbers 855, 846, 387, 744 is 3

Given Input Data is 855, 846, 387, 744

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 387 is 3 x 3 x 43

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

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(855, 846) = 80370

GCD(855, 846) = ( 855 x 846 ) / 80370

GCD(855, 846) = 723330 / 80370

GCD(855, 846) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 387

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

LCM(9, 387) = 387

GCD(9, 387) = ( 9 x 387 ) / 387

GCD(9, 387) = 3483 / 387

GCD(9, 387) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 744

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

LCM(9, 744) = 2232

GCD(9, 744) = ( 9 x 744 ) / 2232

GCD(9, 744) = 6696 / 2232

GCD(9, 744) = 3

GCD of 855, 846, 387, 744 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 765, 248, 511
• GCD of 162, 842, 976, 248
• GCD of 426, 739, 469, 434
• GCD of 932, 163, 694, 537
• GCD of 181, 721, 262, 409

1. What is the GCD of 855, 846, 387, 744?

GCD of 855, 846, 387, 744 is 3

2. Where do I get the detailed procedure to find GCD of 855, 846, 387, 744?

You can find a detailed procedure to find GCD of 855, 846, 387, 744 on our page.

3. How to find GCD of 855, 846, 387, 744 on a calculator?

You can find the GCD of 855, 846, 387, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.