GCD of 478, 610, 342 Calculator

Given Input numbers are 478, 610, 342

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 478, 610, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 610, 342 is 2.

Therefore, GCD of numbers 478, 610, 342 is 2

Given Input Data is 478, 610, 342

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(478, 610) = 145790

GCD(478, 610) = ( 478 x 610 ) / 145790

GCD(478, 610) = 291580 / 145790

GCD(478, 610) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 342

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

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

GCD(2, 342) = 684 / 342

GCD(2, 342) = 2

GCD of 478, 610, 342 is 2

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1. What is the GCD of 478, 610, 342?

GCD of 478, 610, 342 is 2

2. Where do I get the detailed procedure to find GCD of 478, 610, 342?

You can find a detailed procedure to find GCD of 478, 610, 342 on our page.

3. How to find GCD of 478, 610, 342 on a calculator?

You can find the GCD of 478, 610, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.