GCD of 468, 258, 700, 825 Calculator

Given Input numbers are 468, 258, 700, 825

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 468, 258, 700, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 258, 700, 825 is 1.

Therefore, GCD of numbers 468, 258, 700, 825 is 1

Given Input Data is 468, 258, 700, 825

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(468, 258) = 20124

GCD(468, 258) = ( 468 x 258 ) / 20124

GCD(468, 258) = 120744 / 20124

GCD(468, 258) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 700

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

LCM(6, 700) = 2100

GCD(6, 700) = ( 6 x 700 ) / 2100

GCD(6, 700) = 4200 / 2100

GCD(6, 700) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

GCD of 468, 258, 700, 825 is 1

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1. What is the GCD of 468, 258, 700, 825?

GCD of 468, 258, 700, 825 is 1

2. Where do I get the detailed procedure to find GCD of 468, 258, 700, 825?

You can find a detailed procedure to find GCD of 468, 258, 700, 825 on our page.

3. How to find GCD of 468, 258, 700, 825 on a calculator?

You can find the GCD of 468, 258, 700, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.