GCD of 120, 648, 14, 719 Calculator

Given Input numbers are 120, 648, 14, 719

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Greatest Common Divisior

We found the divisors of 120, 648, 14, 719 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 648, 14, 719 is 1.

Therefore, GCD of numbers 120, 648, 14, 719 is 1

Given Input Data is 120, 648, 14, 719

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 14 is 2 x 7

Prime Factorization of 719 is 719

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(120, 648) = 3240

GCD(120, 648) = ( 120 x 648 ) / 3240

GCD(120, 648) = 77760 / 3240

GCD(120, 648) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 14

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

LCM(24, 14) = 168

GCD(24, 14) = ( 24 x 14 ) / 168

GCD(24, 14) = 336 / 168

GCD(24, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 719

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

LCM(2, 719) = 1438

GCD(2, 719) = ( 2 x 719 ) / 1438

GCD(2, 719) = 1438 / 1438

GCD(2, 719) = 1

GCD of 120, 648, 14, 719 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 519, 26, 632
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• GCD of 725, 388, 23, 375
• GCD of 177, 895, 27, 780
• GCD of 856, 152, 50, 856

1. What is the GCD of 120, 648, 14, 719?

GCD of 120, 648, 14, 719 is 1

2. Where do I get the detailed procedure to find GCD of 120, 648, 14, 719?

You can find a detailed procedure to find GCD of 120, 648, 14, 719 on our page.

3. How to find GCD of 120, 648, 14, 719 on a calculator?

You can find the GCD of 120, 648, 14, 719 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.