GCD of 714, 162, 55, 782 Calculator

Given Input numbers are 714, 162, 55, 782

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 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 714, 162, 55, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 162, 55, 782 is 1.

Therefore, GCD of numbers 714, 162, 55, 782 is 1

Given Input Data is 714, 162, 55, 782

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 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 55 is 5 x 11

Prime Factorization of 782 is 2 x 17 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(714, 162) = 19278

GCD(714, 162) = ( 714 x 162 ) / 19278

GCD(714, 162) = 115668 / 19278

GCD(714, 162) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 55

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

LCM(6, 55) = 330

GCD(6, 55) = ( 6 x 55 ) / 330

GCD(6, 55) = 330 / 330

GCD(6, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 714, 162, 55, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 539, 949, 71, 915
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• GCD of 858, 496, 34, 193

1. What is the GCD of 714, 162, 55, 782?

GCD of 714, 162, 55, 782 is 1

2. Where do I get the detailed procedure to find GCD of 714, 162, 55, 782?

You can find a detailed procedure to find GCD of 714, 162, 55, 782 on our page.

3. How to find GCD of 714, 162, 55, 782 on a calculator?

You can find the GCD of 714, 162, 55, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.