GCD of 678, 714, 990, 527 Calculator

Given Input numbers are 678, 714, 990, 527

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

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 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 678, 714, 990, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 714, 990, 527 is 1.

Therefore, GCD of numbers 678, 714, 990, 527 is 1

Given Input Data is 678, 714, 990, 527

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

Prime Factorization of 678 is 2 x 3 x 113

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 527 is 17 x 31

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(678, 714) = 80682

GCD(678, 714) = ( 678 x 714 ) / 80682

GCD(678, 714) = 484092 / 80682

GCD(678, 714) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 990

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

LCM(6, 990) = 990

GCD(6, 990) = ( 6 x 990 ) / 990

GCD(6, 990) = 5940 / 990

GCD(6, 990) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 527

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

LCM(6, 527) = 3162

GCD(6, 527) = ( 6 x 527 ) / 3162

GCD(6, 527) = 3162 / 3162

GCD(6, 527) = 1

GCD of 678, 714, 990, 527 is 1

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1. What is the GCD of 678, 714, 990, 527?

GCD of 678, 714, 990, 527 is 1

2. Where do I get the detailed procedure to find GCD of 678, 714, 990, 527?

You can find a detailed procedure to find GCD of 678, 714, 990, 527 on our page.

3. How to find GCD of 678, 714, 990, 527 on a calculator?

You can find the GCD of 678, 714, 990, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.