GCD of 690, 507, 251, 666 Calculator

Given Input numbers are 690, 507, 251, 666

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

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Greatest Common Divisior

We found the divisors of 690, 507, 251, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 507, 251, 666 is 1.

Therefore, GCD of numbers 690, 507, 251, 666 is 1

Given Input Data is 690, 507, 251, 666

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 251 is 251

Prime Factorization of 666 is 2 x 3 x 3 x 37

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(690, 507) = 116610

GCD(690, 507) = ( 690 x 507 ) / 116610

GCD(690, 507) = 349830 / 116610

GCD(690, 507) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 251

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

LCM(3, 251) = 753

GCD(3, 251) = ( 3 x 251 ) / 753

GCD(3, 251) = 753 / 753

GCD(3, 251) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 666

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

LCM(1, 666) = 666

GCD(1, 666) = ( 1 x 666 ) / 666

GCD(1, 666) = 666 / 666

GCD(1, 666) = 1

GCD of 690, 507, 251, 666 is 1

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1. What is the GCD of 690, 507, 251, 666?

GCD of 690, 507, 251, 666 is 1

2. Where do I get the detailed procedure to find GCD of 690, 507, 251, 666?

You can find a detailed procedure to find GCD of 690, 507, 251, 666 on our page.

3. How to find GCD of 690, 507, 251, 666 on a calculator?

You can find the GCD of 690, 507, 251, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.