GCD of 588, 750, 106 Calculator

Given Input numbers are 588, 750, 106

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 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 588, 750, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 750, 106 is 2.

Therefore, GCD of numbers 588, 750, 106 is 2

Given Input Data is 588, 750, 106

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 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 106 is 2 x 53

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, 750) = 73500

GCD(588, 750) = ( 588 x 750 ) / 73500

GCD(588, 750) = 441000 / 73500

GCD(588, 750) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 106

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

LCM(6, 106) = 318

GCD(6, 106) = ( 6 x 106 ) / 318

GCD(6, 106) = 636 / 318

GCD(6, 106) = 2

GCD of 588, 750, 106 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 926, 274
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1. What is the GCD of 588, 750, 106?

GCD of 588, 750, 106 is 2

2. Where do I get the detailed procedure to find GCD of 588, 750, 106?

You can find a detailed procedure to find GCD of 588, 750, 106 on our page.

3. How to find GCD of 588, 750, 106 on a calculator?

You can find the GCD of 588, 750, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.