GCD of 460, 620, 90, 128 Calculator

Given Input numbers are 460, 620, 90, 128

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

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

Greatest Common Divisior

We found the divisors of 460, 620, 90, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 620, 90, 128 is 2.

Therefore, GCD of numbers 460, 620, 90, 128 is 2

Given Input Data is 460, 620, 90, 128

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 128 is 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(460, 620) = 14260

GCD(460, 620) = ( 460 x 620 ) / 14260

GCD(460, 620) = 285200 / 14260

GCD(460, 620) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 90

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

LCM(20, 90) = 180

GCD(20, 90) = ( 20 x 90 ) / 180

GCD(20, 90) = 1800 / 180

GCD(20, 90) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 128

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

LCM(10, 128) = 640

GCD(10, 128) = ( 10 x 128 ) / 640

GCD(10, 128) = 1280 / 640

GCD(10, 128) = 2

GCD of 460, 620, 90, 128 is 2

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• GCD of 375, 135, 32, 153
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• GCD of 185, 253, 31, 210

1. What is the GCD of 460, 620, 90, 128?

GCD of 460, 620, 90, 128 is 2

2. Where do I get the detailed procedure to find GCD of 460, 620, 90, 128?

You can find a detailed procedure to find GCD of 460, 620, 90, 128 on our page.

3. How to find GCD of 460, 620, 90, 128 on a calculator?

You can find the GCD of 460, 620, 90, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.