GCD of 469, 315, 365, 690 Calculator

Given Input numbers are 469, 315, 365, 690

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

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

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 469, 315, 365, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 315, 365, 690 is 1.

Therefore, GCD of numbers 469, 315, 365, 690 is 1

Given Input Data is 469, 315, 365, 690

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

Prime Factorization of 469 is 7 x 67

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 365 is 5 x 73

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(469, 315) = 21105

GCD(469, 315) = ( 469 x 315 ) / 21105

GCD(469, 315) = 147735 / 21105

GCD(469, 315) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 365

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

LCM(7, 365) = 2555

GCD(7, 365) = ( 7 x 365 ) / 2555

GCD(7, 365) = 2555 / 2555

GCD(7, 365) = 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 469, 315, 365, 690 is 1

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1. What is the GCD of 469, 315, 365, 690?

GCD of 469, 315, 365, 690 is 1

2. Where do I get the detailed procedure to find GCD of 469, 315, 365, 690?

You can find a detailed procedure to find GCD of 469, 315, 365, 690 on our page.

3. How to find GCD of 469, 315, 365, 690 on a calculator?

You can find the GCD of 469, 315, 365, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.