GCD of 714, 504, 86, 918 Calculator

Given Input numbers are 714, 504, 86, 918

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 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 714, 504, 86, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 504, 86, 918 is 2.

Therefore, GCD of numbers 714, 504, 86, 918 is 2

Given Input Data is 714, 504, 86, 918

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 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 86 is 2 x 43

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 504) = 8568

GCD(714, 504) = ( 714 x 504 ) / 8568

GCD(714, 504) = 359856 / 8568

GCD(714, 504) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 86

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

LCM(42, 86) = 1806

GCD(42, 86) = ( 42 x 86 ) / 1806

GCD(42, 86) = 3612 / 1806

GCD(42, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 918

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

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

GCD(2, 918) = 1836 / 918

GCD(2, 918) = 2

GCD of 714, 504, 86, 918 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 333, 51, 405
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• GCD of 561, 779, 32, 851

1. What is the GCD of 714, 504, 86, 918?

GCD of 714, 504, 86, 918 is 2

2. Where do I get the detailed procedure to find GCD of 714, 504, 86, 918?

You can find a detailed procedure to find GCD of 714, 504, 86, 918 on our page.

3. How to find GCD of 714, 504, 86, 918 on a calculator?

You can find the GCD of 714, 504, 86, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.