GCD of 380, 742, 588 Calculator

Given Input numbers are 380, 742, 588

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

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

Greatest Common Divisior

We found the divisors of 380, 742, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 742, 588 is 2.

Therefore, GCD of numbers 380, 742, 588 is 2

Given Input Data is 380, 742, 588

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 742 is 2 x 7 x 53

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

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(380, 742) = 140980

GCD(380, 742) = ( 380 x 742 ) / 140980

GCD(380, 742) = 281960 / 140980

GCD(380, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 588

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

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

GCD(2, 588) = 1176 / 588

GCD(2, 588) = 2

GCD of 380, 742, 588 is 2

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1. What is the GCD of 380, 742, 588?

GCD of 380, 742, 588 is 2

2. Where do I get the detailed procedure to find GCD of 380, 742, 588?

You can find a detailed procedure to find GCD of 380, 742, 588 on our page.

3. How to find GCD of 380, 742, 588 on a calculator?

You can find the GCD of 380, 742, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.