GCD of 642, 426, 588, 348 Calculator

Given Input numbers are 642, 426, 588, 348

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 642, 426, 588, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 426, 588, 348 is 6.

Therefore, GCD of numbers 642, 426, 588, 348 is 6

Given Input Data is 642, 426, 588, 348

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 426 is 2 x 3 x 71

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(642, 426) = 45582

GCD(642, 426) = ( 642 x 426 ) / 45582

GCD(642, 426) = 273492 / 45582

GCD(642, 426) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 588

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

LCM(6, 588) = 588

GCD(6, 588) = ( 6 x 588 ) / 588

GCD(6, 588) = 3528 / 588

GCD(6, 588) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 348

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

LCM(6, 348) = 348

GCD(6, 348) = ( 6 x 348 ) / 348

GCD(6, 348) = 2088 / 348

GCD(6, 348) = 6

GCD of 642, 426, 588, 348 is 6

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1. What is the GCD of 642, 426, 588, 348?

GCD of 642, 426, 588, 348 is 6

2. Where do I get the detailed procedure to find GCD of 642, 426, 588, 348?

You can find a detailed procedure to find GCD of 642, 426, 588, 348 on our page.

3. How to find GCD of 642, 426, 588, 348 on a calculator?

You can find the GCD of 642, 426, 588, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.