GCD of 466, 270, 20, 758 Calculator

Given Input numbers are 466, 270, 20, 758

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 466, 270, 20, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 270, 20, 758 is 2.

Therefore, GCD of numbers 466, 270, 20, 758 is 2

Given Input Data is 466, 270, 20, 758

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 758 is 2 x 379

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, 270) = 62910

GCD(466, 270) = ( 466 x 270 ) / 62910

GCD(466, 270) = 125820 / 62910

GCD(466, 270) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 758

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

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

GCD(2, 758) = 1516 / 758

GCD(2, 758) = 2

GCD of 466, 270, 20, 758 is 2

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1. What is the GCD of 466, 270, 20, 758?

GCD of 466, 270, 20, 758 is 2

2. Where do I get the detailed procedure to find GCD of 466, 270, 20, 758?

You can find a detailed procedure to find GCD of 466, 270, 20, 758 on our page.

3. How to find GCD of 466, 270, 20, 758 on a calculator?

You can find the GCD of 466, 270, 20, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.