GCD of 720, 514, 645, 214 Calculator

Given Input numbers are 720, 514, 645, 214

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 514

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

1, 2, 257, 514

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 720, 514, 645, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 514, 645, 214 is 1.

Therefore, GCD of numbers 720, 514, 645, 214 is 1

Given Input Data is 720, 514, 645, 214

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 514 is 2 x 257

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 214 is 2 x 107

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(720, 514) = 185040

GCD(720, 514) = ( 720 x 514 ) / 185040

GCD(720, 514) = 370080 / 185040

GCD(720, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 645

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

LCM(2, 645) = 1290

GCD(2, 645) = ( 2 x 645 ) / 1290

GCD(2, 645) = 1290 / 1290

GCD(2, 645) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 720, 514, 645, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 103, 782, 508
• GCD of 237, 344, 222, 344
• GCD of 584, 760, 224, 383
• GCD of 220, 565, 890, 108
• GCD of 568, 708, 266, 683

1. What is the GCD of 720, 514, 645, 214?

GCD of 720, 514, 645, 214 is 1

2. Where do I get the detailed procedure to find GCD of 720, 514, 645, 214?

You can find a detailed procedure to find GCD of 720, 514, 645, 214 on our page.

3. How to find GCD of 720, 514, 645, 214 on a calculator?

You can find the GCD of 720, 514, 645, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.