GCD of 488, 124, 90, 464 Calculator

Given Input numbers are 488, 124, 90, 464

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

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 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 488, 124, 90, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 124, 90, 464 is 2.

Therefore, GCD of numbers 488, 124, 90, 464 is 2

Given Input Data is 488, 124, 90, 464

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 124 is 2 x 2 x 31

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(488, 124) = 15128

GCD(488, 124) = ( 488 x 124 ) / 15128

GCD(488, 124) = 60512 / 15128

GCD(488, 124) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 90

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

LCM(4, 90) = 180

GCD(4, 90) = ( 4 x 90 ) / 180

GCD(4, 90) = 360 / 180

GCD(4, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 488, 124, 90, 464 is 2

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• GCD of 609, 556, 41, 948
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1. What is the GCD of 488, 124, 90, 464?

GCD of 488, 124, 90, 464 is 2

2. Where do I get the detailed procedure to find GCD of 488, 124, 90, 464?

You can find a detailed procedure to find GCD of 488, 124, 90, 464 on our page.

3. How to find GCD of 488, 124, 90, 464 on a calculator?

You can find the GCD of 488, 124, 90, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.