GCD of 33, 135, 514, 711 Calculator

Given Input numbers are 33, 135, 514, 711

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

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 33, 135, 514, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 135, 514, 711 is 1.

Therefore, GCD of numbers 33, 135, 514, 711 is 1

Given Input Data is 33, 135, 514, 711

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 514 is 2 x 257

Prime Factorization of 711 is 3 x 3 x 79

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(33, 135) = 1485

GCD(33, 135) = ( 33 x 135 ) / 1485

GCD(33, 135) = 4455 / 1485

GCD(33, 135) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 514

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

LCM(3, 514) = 1542

GCD(3, 514) = ( 3 x 514 ) / 1542

GCD(3, 514) = 1542 / 1542

GCD(3, 514) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 711

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

LCM(1, 711) = 711

GCD(1, 711) = ( 1 x 711 ) / 711

GCD(1, 711) = 711 / 711

GCD(1, 711) = 1

GCD of 33, 135, 514, 711 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 813, 170, 828
• GCD of 69, 882, 499, 616
• GCD of 25, 172, 112, 415
• GCD of 35, 749, 370, 585
• GCD of 59, 806, 972, 216

1. What is the GCD of 33, 135, 514, 711?

GCD of 33, 135, 514, 711 is 1

2. Where do I get the detailed procedure to find GCD of 33, 135, 514, 711?

You can find a detailed procedure to find GCD of 33, 135, 514, 711 on our page.

3. How to find GCD of 33, 135, 514, 711 on a calculator?

You can find the GCD of 33, 135, 514, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.