GCD of 714, 959, 37, 486 Calculator

Given Input numbers are 714, 959, 37, 486

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 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Greatest Common Divisior

We found the divisors of 714, 959, 37, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 959, 37, 486 is 1.

Therefore, GCD of numbers 714, 959, 37, 486 is 1

Given Input Data is 714, 959, 37, 486

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 959 is 7 x 137

Prime Factorization of 37 is 37

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

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, 959) = 97818

GCD(714, 959) = ( 714 x 959 ) / 97818

GCD(714, 959) = 684726 / 97818

GCD(714, 959) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 37

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

LCM(7, 37) = 259

GCD(7, 37) = ( 7 x 37 ) / 259

GCD(7, 37) = 259 / 259

GCD(7, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 486

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

LCM(1, 486) = 486

GCD(1, 486) = ( 1 x 486 ) / 486

GCD(1, 486) = 486 / 486

GCD(1, 486) = 1

GCD of 714, 959, 37, 486 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 237, 60, 511
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• GCD of 437, 725, 32, 568
• GCD of 308, 835, 62, 788
• GCD of 948, 270, 15, 790

1. What is the GCD of 714, 959, 37, 486?

GCD of 714, 959, 37, 486 is 1

2. Where do I get the detailed procedure to find GCD of 714, 959, 37, 486?

You can find a detailed procedure to find GCD of 714, 959, 37, 486 on our page.

3. How to find GCD of 714, 959, 37, 486 on a calculator?

You can find the GCD of 714, 959, 37, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.