GCD of 165, 699, 543, 914 Calculator

Given Input numbers are 165, 699, 543, 914

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 914

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

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 165, 699, 543, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 699, 543, 914 is 1.

Therefore, GCD of numbers 165, 699, 543, 914 is 1

Given Input Data is 165, 699, 543, 914

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 699 is 3 x 233

Prime Factorization of 543 is 3 x 181

Prime Factorization of 914 is 2 x 457

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(165, 699) = 38445

GCD(165, 699) = ( 165 x 699 ) / 38445

GCD(165, 699) = 115335 / 38445

GCD(165, 699) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 543

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

LCM(3, 543) = 543

GCD(3, 543) = ( 3 x 543 ) / 543

GCD(3, 543) = 1629 / 543

GCD(3, 543) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 914

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

LCM(3, 914) = 2742

GCD(3, 914) = ( 3 x 914 ) / 2742

GCD(3, 914) = 2742 / 2742

GCD(3, 914) = 1

GCD of 165, 699, 543, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 437, 859, 543
• GCD of 380, 743, 729, 944
• GCD of 346, 658, 179, 762
• GCD of 706, 697, 740, 159
• GCD of 556, 887, 818, 846

1. What is the GCD of 165, 699, 543, 914?

GCD of 165, 699, 543, 914 is 1

2. Where do I get the detailed procedure to find GCD of 165, 699, 543, 914?

You can find a detailed procedure to find GCD of 165, 699, 543, 914 on our page.

3. How to find GCD of 165, 699, 543, 914 on a calculator?

You can find the GCD of 165, 699, 543, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.