GCD of 258, 688, 45, 469 Calculator

Given Input numbers are 258, 688, 45, 469

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 469

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

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 258, 688, 45, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 688, 45, 469 is 1.

Therefore, GCD of numbers 258, 688, 45, 469 is 1

Given Input Data is 258, 688, 45, 469

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 469 is 7 x 67

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(258, 688) = 2064

GCD(258, 688) = ( 258 x 688 ) / 2064

GCD(258, 688) = 177504 / 2064

GCD(258, 688) = 86

Step2:

Here we consider the GCD from the above i.e. 86 as first number and the next as 45

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

LCM(86, 45) = 3870

GCD(86, 45) = ( 86 x 45 ) / 3870

GCD(86, 45) = 3870 / 3870

GCD(86, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 258, 688, 45, 469 is 1

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1. What is the GCD of 258, 688, 45, 469?

GCD of 258, 688, 45, 469 is 1

2. Where do I get the detailed procedure to find GCD of 258, 688, 45, 469?

You can find a detailed procedure to find GCD of 258, 688, 45, 469 on our page.

3. How to find GCD of 258, 688, 45, 469 on a calculator?

You can find the GCD of 258, 688, 45, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.