GCD of 468, 178, 98, 512 Calculator

Given Input numbers are 468, 178, 98, 512

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 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 468, 178, 98, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 178, 98, 512 is 2.

Therefore, GCD of numbers 468, 178, 98, 512 is 2

Given Input Data is 468, 178, 98, 512

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 178 is 2 x 89

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 178) = 41652

GCD(468, 178) = ( 468 x 178 ) / 41652

GCD(468, 178) = 83304 / 41652

GCD(468, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 512

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

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

GCD(2, 512) = 1024 / 512

GCD(2, 512) = 2

GCD of 468, 178, 98, 512 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 801, 88, 574
• GCD of 619, 318, 42, 115
• GCD of 296, 435, 41, 109
• GCD of 331, 130, 18, 745
• GCD of 719, 397, 81, 467

1. What is the GCD of 468, 178, 98, 512?

GCD of 468, 178, 98, 512 is 2

2. Where do I get the detailed procedure to find GCD of 468, 178, 98, 512?

You can find a detailed procedure to find GCD of 468, 178, 98, 512 on our page.

3. How to find GCD of 468, 178, 98, 512 on a calculator?

You can find the GCD of 468, 178, 98, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.