GCD of 258, 798, 525, 932 Calculator

Given Input numbers are 258, 798, 525, 932

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 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Greatest Common Divisior

We found the divisors of 258, 798, 525, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 798, 525, 932 is 1.

Therefore, GCD of numbers 258, 798, 525, 932 is 1

Given Input Data is 258, 798, 525, 932

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 798 is 2 x 3 x 7 x 19

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 932 is 2 x 2 x 233

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, 798) = 34314

GCD(258, 798) = ( 258 x 798 ) / 34314

GCD(258, 798) = 205884 / 34314

GCD(258, 798) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 525

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

LCM(6, 525) = 1050

GCD(6, 525) = ( 6 x 525 ) / 1050

GCD(6, 525) = 3150 / 1050

GCD(6, 525) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 932

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

LCM(3, 932) = 2796

GCD(3, 932) = ( 3 x 932 ) / 2796

GCD(3, 932) = 2796 / 2796

GCD(3, 932) = 1

GCD of 258, 798, 525, 932 is 1

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1. What is the GCD of 258, 798, 525, 932?

GCD of 258, 798, 525, 932 is 1

2. Where do I get the detailed procedure to find GCD of 258, 798, 525, 932?

You can find a detailed procedure to find GCD of 258, 798, 525, 932 on our page.

3. How to find GCD of 258, 798, 525, 932 on a calculator?

You can find the GCD of 258, 798, 525, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.