GCD of 466, 304, 782, 146 Calculator

Given Input numbers are 466, 304, 782, 146

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 466, 304, 782, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 304, 782, 146 is 2.

Therefore, GCD of numbers 466, 304, 782, 146 is 2

Given Input Data is 466, 304, 782, 146

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 146 is 2 x 73

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(466, 304) = 70832

GCD(466, 304) = ( 466 x 304 ) / 70832

GCD(466, 304) = 141664 / 70832

GCD(466, 304) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 782

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

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

GCD(2, 782) = 1564 / 782

GCD(2, 782) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 146

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

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

GCD(2, 146) = 292 / 146

GCD(2, 146) = 2

GCD of 466, 304, 782, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 690, 775, 648
• GCD of 220, 523, 364, 490
• GCD of 457, 100, 533, 122
• GCD of 464, 309, 702, 193
• GCD of 895, 249, 483, 590

1. What is the GCD of 466, 304, 782, 146?

GCD of 466, 304, 782, 146 is 2

2. Where do I get the detailed procedure to find GCD of 466, 304, 782, 146?

You can find a detailed procedure to find GCD of 466, 304, 782, 146 on our page.

3. How to find GCD of 466, 304, 782, 146 on a calculator?

You can find the GCD of 466, 304, 782, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.