GCD of 534, 284, 90, 788 Calculator

Given Input numbers are 534, 284, 90, 788

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

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 534, 284, 90, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 284, 90, 788 is 2.

Therefore, GCD of numbers 534, 284, 90, 788 is 2

Given Input Data is 534, 284, 90, 788

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

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 284 is 2 x 2 x 71

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

Prime Factorization of 788 is 2 x 2 x 197

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(534, 284) = 75828

GCD(534, 284) = ( 534 x 284 ) / 75828

GCD(534, 284) = 151656 / 75828

GCD(534, 284) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

GCD of 534, 284, 90, 788 is 2

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1. What is the GCD of 534, 284, 90, 788?

GCD of 534, 284, 90, 788 is 2

2. Where do I get the detailed procedure to find GCD of 534, 284, 90, 788?

You can find a detailed procedure to find GCD of 534, 284, 90, 788 on our page.

3. How to find GCD of 534, 284, 90, 788 on a calculator?

You can find the GCD of 534, 284, 90, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.