GCD of 759, 837, 738, 666 Calculator

Given Input numbers are 759, 837, 738, 666

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 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Greatest Common Divisior

We found the divisors of 759, 837, 738, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 837, 738, 666 is 3.

Therefore, GCD of numbers 759, 837, 738, 666 is 3

Given Input Data is 759, 837, 738, 666

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 837 is 3 x 3 x 3 x 31

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 666 is 2 x 3 x 3 x 37

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, 837) = 211761

GCD(759, 837) = ( 759 x 837 ) / 211761

GCD(759, 837) = 635283 / 211761

GCD(759, 837) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 738

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

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

GCD(3, 738) = 2214 / 738

GCD(3, 738) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 666

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

LCM(3, 666) = 666

GCD(3, 666) = ( 3 x 666 ) / 666

GCD(3, 666) = 1998 / 666

GCD(3, 666) = 3

GCD of 759, 837, 738, 666 is 3

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 759, 837, 738, 666?

GCD of 759, 837, 738, 666 is 3

2. Where do I get the detailed procedure to find GCD of 759, 837, 738, 666?

You can find a detailed procedure to find GCD of 759, 837, 738, 666 on our page.

3. How to find GCD of 759, 837, 738, 666 on a calculator?

You can find the GCD of 759, 837, 738, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.