GCD of 258, 456, 51, 882 Calculator

Given Input numbers are 258, 456, 51, 882

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 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Greatest Common Divisior

We found the divisors of 258, 456, 51, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 456, 51, 882 is 3.

Therefore, GCD of numbers 258, 456, 51, 882 is 3

Given Input Data is 258, 456, 51, 882

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 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 51 is 3 x 17

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 456) = 19608

GCD(258, 456) = ( 258 x 456 ) / 19608

GCD(258, 456) = 117648 / 19608

GCD(258, 456) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 51

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

LCM(6, 51) = 102

GCD(6, 51) = ( 6 x 51 ) / 102

GCD(6, 51) = 306 / 102

GCD(6, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 882

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

LCM(3, 882) = 882

GCD(3, 882) = ( 3 x 882 ) / 882

GCD(3, 882) = 2646 / 882

GCD(3, 882) = 3

GCD of 258, 456, 51, 882 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 942, 30, 663
• GCD of 700, 512, 42, 291
• GCD of 107, 182, 39, 548
• GCD of 330, 119, 84, 971
• GCD of 724, 502, 33, 970

1. What is the GCD of 258, 456, 51, 882?

GCD of 258, 456, 51, 882 is 3

2. Where do I get the detailed procedure to find GCD of 258, 456, 51, 882?

You can find a detailed procedure to find GCD of 258, 456, 51, 882 on our page.

3. How to find GCD of 258, 456, 51, 882 on a calculator?

You can find the GCD of 258, 456, 51, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.