GCD of 666, 732, 914, 769 Calculator

Given Input numbers are 666, 732, 914, 769

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

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 666, 732, 914, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 666, 732, 914, 769 is 1.

Therefore, GCD of numbers 666, 732, 914, 769 is 1

Given Input Data is 666, 732, 914, 769

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

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 914 is 2 x 457

Prime Factorization of 769 is 769

The above numbers do not have any common prime factor. So GCD is 1

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(666, 732) = 81252

GCD(666, 732) = ( 666 x 732 ) / 81252

GCD(666, 732) = 487512 / 81252

GCD(666, 732) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 914

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

LCM(6, 914) = 2742

GCD(6, 914) = ( 6 x 914 ) / 2742

GCD(6, 914) = 5484 / 2742

GCD(6, 914) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 769

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

LCM(2, 769) = 1538

GCD(2, 769) = ( 2 x 769 ) / 1538

GCD(2, 769) = 1538 / 1538

GCD(2, 769) = 1

GCD of 666, 732, 914, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 635, 743, 558
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• GCD of 760, 763, 711, 428

1. What is the GCD of 666, 732, 914, 769?

GCD of 666, 732, 914, 769 is 1

2. Where do I get the detailed procedure to find GCD of 666, 732, 914, 769?

You can find a detailed procedure to find GCD of 666, 732, 914, 769 on our page.

3. How to find GCD of 666, 732, 914, 769 on a calculator?

You can find the GCD of 666, 732, 914, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.