GCD of 466, 838, 68, 890 Calculator

Given Input numbers are 466, 838, 68, 890

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 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 466, 838, 68, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 838, 68, 890 is 2.

Therefore, GCD of numbers 466, 838, 68, 890 is 2

Given Input Data is 466, 838, 68, 890

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 838 is 2 x 419

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 890 is 2 x 5 x 89

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, 838) = 195254

GCD(466, 838) = ( 466 x 838 ) / 195254

GCD(466, 838) = 390508 / 195254

GCD(466, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 890

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

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

GCD(2, 890) = 1780 / 890

GCD(2, 890) = 2

GCD of 466, 838, 68, 890 is 2

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1. What is the GCD of 466, 838, 68, 890?

GCD of 466, 838, 68, 890 is 2

2. Where do I get the detailed procedure to find GCD of 466, 838, 68, 890?

You can find a detailed procedure to find GCD of 466, 838, 68, 890 on our page.

3. How to find GCD of 466, 838, 68, 890 on a calculator?

You can find the GCD of 466, 838, 68, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.