GCD of 690, 222, 72, 505 Calculator

Given Input numbers are 690, 222, 72, 505

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 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 690, 222, 72, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 222, 72, 505 is 1.

Therefore, GCD of numbers 690, 222, 72, 505 is 1

Given Input Data is 690, 222, 72, 505

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 222 is 2 x 3 x 37

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 505 is 5 x 101

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, 222) = 25530

GCD(690, 222) = ( 690 x 222 ) / 25530

GCD(690, 222) = 153180 / 25530

GCD(690, 222) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 72

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

LCM(6, 72) = 72

GCD(6, 72) = ( 6 x 72 ) / 72

GCD(6, 72) = 432 / 72

GCD(6, 72) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 505

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

LCM(6, 505) = 3030

GCD(6, 505) = ( 6 x 505 ) / 3030

GCD(6, 505) = 3030 / 3030

GCD(6, 505) = 1

GCD of 690, 222, 72, 505 is 1

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• GCD of 340, 180, 73, 299
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1. What is the GCD of 690, 222, 72, 505?

GCD of 690, 222, 72, 505 is 1

2. Where do I get the detailed procedure to find GCD of 690, 222, 72, 505?

You can find a detailed procedure to find GCD of 690, 222, 72, 505 on our page.

3. How to find GCD of 690, 222, 72, 505 on a calculator?

You can find the GCD of 690, 222, 72, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.