GCD of 510, 704, 89, 690 Calculator

Given Input numbers are 510, 704, 89, 690

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 510, 704, 89, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 704, 89, 690 is 1.

Therefore, GCD of numbers 510, 704, 89, 690 is 1

Given Input Data is 510, 704, 89, 690

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 89 is 89

Prime Factorization of 690 is 2 x 3 x 5 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(510, 704) = 179520

GCD(510, 704) = ( 510 x 704 ) / 179520

GCD(510, 704) = 359040 / 179520

GCD(510, 704) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 510, 704, 89, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 504, 81, 894
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• GCD of 173, 243, 33, 780

1. What is the GCD of 510, 704, 89, 690?

GCD of 510, 704, 89, 690 is 1

2. Where do I get the detailed procedure to find GCD of 510, 704, 89, 690?

You can find a detailed procedure to find GCD of 510, 704, 89, 690 on our page.

3. How to find GCD of 510, 704, 89, 690 on a calculator?

You can find the GCD of 510, 704, 89, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.