GCD of 759, 360, 855, 381 Calculator

Given Input numbers are 759, 360, 855, 381

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 759, 360, 855, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 360, 855, 381 is 3.

Therefore, GCD of numbers 759, 360, 855, 381 is 3

Given Input Data is 759, 360, 855, 381

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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

Prime Factorization of 381 is 3 x 127

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(759, 360) = 91080

GCD(759, 360) = ( 759 x 360 ) / 91080

GCD(759, 360) = 273240 / 91080

GCD(759, 360) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 855

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

LCM(3, 855) = 855

GCD(3, 855) = ( 3 x 855 ) / 855

GCD(3, 855) = 2565 / 855

GCD(3, 855) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 381

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

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

GCD(3, 381) = 1143 / 381

GCD(3, 381) = 3

GCD of 759, 360, 855, 381 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 617, 951, 478
• GCD of 128, 403, 595, 212
• GCD of 531, 181, 943, 150
• GCD of 343, 167, 953, 541
• GCD of 803, 856, 119, 310

1. What is the GCD of 759, 360, 855, 381?

GCD of 759, 360, 855, 381 is 3

2. Where do I get the detailed procedure to find GCD of 759, 360, 855, 381?

You can find a detailed procedure to find GCD of 759, 360, 855, 381 on our page.

3. How to find GCD of 759, 360, 855, 381 on a calculator?

You can find the GCD of 759, 360, 855, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.