GCD of 720, 659, 253 Calculator

Given Input numbers are 720, 659, 253

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 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 720, 659, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 659, 253 is 1.

Therefore, GCD of numbers 720, 659, 253 is 1

Given Input Data is 720, 659, 253

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 659 is 659

Prime Factorization of 253 is 11 x 23

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, 659) = 474480

GCD(720, 659) = ( 720 x 659 ) / 474480

GCD(720, 659) = 474480 / 474480

GCD(720, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 720, 659, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 784, 233
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• GCD of 548, 836, 569
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1. What is the GCD of 720, 659, 253?

GCD of 720, 659, 253 is 1

2. Where do I get the detailed procedure to find GCD of 720, 659, 253?

You can find a detailed procedure to find GCD of 720, 659, 253 on our page.

3. How to find GCD of 720, 659, 253 on a calculator?

You can find the GCD of 720, 659, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.