GCD of 588, 154, 90, 788 Calculator

Given Input numbers are 588, 154, 90, 788

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

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 588, 154, 90, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 154, 90, 788 is 2.

Therefore, GCD of numbers 588, 154, 90, 788 is 2

Given Input Data is 588, 154, 90, 788

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 154 is 2 x 7 x 11

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(588, 154) = 6468

GCD(588, 154) = ( 588 x 154 ) / 6468

GCD(588, 154) = 90552 / 6468

GCD(588, 154) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 90

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

LCM(14, 90) = 630

GCD(14, 90) = ( 14 x 90 ) / 630

GCD(14, 90) = 1260 / 630

GCD(14, 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 588, 154, 90, 788 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 467, 84, 337
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• GCD of 728, 996, 91, 195
• GCD of 959, 936, 11, 601

1. What is the GCD of 588, 154, 90, 788?

GCD of 588, 154, 90, 788 is 2

2. Where do I get the detailed procedure to find GCD of 588, 154, 90, 788?

You can find a detailed procedure to find GCD of 588, 154, 90, 788 on our page.

3. How to find GCD of 588, 154, 90, 788 on a calculator?

You can find the GCD of 588, 154, 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.