GCD of 428, 308, 682, 588 Calculator

Given Input numbers are 428, 308, 682, 588

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

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 428, 308, 682, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 308, 682, 588 is 2.

Therefore, GCD of numbers 428, 308, 682, 588 is 2

Given Input Data is 428, 308, 682, 588

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 682 is 2 x 11 x 31

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(428, 308) = 32956

GCD(428, 308) = ( 428 x 308 ) / 32956

GCD(428, 308) = 131824 / 32956

GCD(428, 308) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 682

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

LCM(4, 682) = 1364

GCD(4, 682) = ( 4 x 682 ) / 1364

GCD(4, 682) = 2728 / 1364

GCD(4, 682) = 2

Step3:

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 428, 308, 682, 588 is 2

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1. What is the GCD of 428, 308, 682, 588?

GCD of 428, 308, 682, 588 is 2

2. Where do I get the detailed procedure to find GCD of 428, 308, 682, 588?

You can find a detailed procedure to find GCD of 428, 308, 682, 588 on our page.

3. How to find GCD of 428, 308, 682, 588 on a calculator?

You can find the GCD of 428, 308, 682, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.