GCD of 714, 894, 72, 119 Calculator

Given Input numbers are 714, 894, 72, 119

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 714, 894, 72, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 894, 72, 119 is 1.

Therefore, GCD of numbers 714, 894, 72, 119 is 1

Given Input Data is 714, 894, 72, 119

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 119 is 7 x 17

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(714, 894) = 106386

GCD(714, 894) = ( 714 x 894 ) / 106386

GCD(714, 894) = 638316 / 106386

GCD(714, 894) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 72

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

LCM(6, 72) = 72

GCD(6, 72) = ( 6 x 72 ) / 72

GCD(6, 72) = 432 / 72

GCD(6, 72) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 119

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

LCM(6, 119) = 714

GCD(6, 119) = ( 6 x 119 ) / 714

GCD(6, 119) = 714 / 714

GCD(6, 119) = 1

GCD of 714, 894, 72, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 646, 87, 122
• GCD of 919, 312, 52, 309
• GCD of 156, 884, 26, 174
• GCD of 138, 294, 50, 461
• GCD of 341, 529, 62, 398

1. What is the GCD of 714, 894, 72, 119?

GCD of 714, 894, 72, 119 is 1

2. Where do I get the detailed procedure to find GCD of 714, 894, 72, 119?

You can find a detailed procedure to find GCD of 714, 894, 72, 119 on our page.

3. How to find GCD of 714, 894, 72, 119 on a calculator?

You can find the GCD of 714, 894, 72, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.