GCD of 346, 214, 42, 758 Calculator

Given Input numbers are 346, 214, 42, 758

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 346, 214, 42, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 214, 42, 758 is 2.

Therefore, GCD of numbers 346, 214, 42, 758 is 2

Given Input Data is 346, 214, 42, 758

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 214 is 2 x 107

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 758 is 2 x 379

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(346, 214) = 37022

GCD(346, 214) = ( 346 x 214 ) / 37022

GCD(346, 214) = 74044 / 37022

GCD(346, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 758

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

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

GCD(2, 758) = 1516 / 758

GCD(2, 758) = 2

GCD of 346, 214, 42, 758 is 2

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• GCD of 631, 273, 51, 414
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1. What is the GCD of 346, 214, 42, 758?

GCD of 346, 214, 42, 758 is 2

2. Where do I get the detailed procedure to find GCD of 346, 214, 42, 758?

You can find a detailed procedure to find GCD of 346, 214, 42, 758 on our page.

3. How to find GCD of 346, 214, 42, 758 on a calculator?

You can find the GCD of 346, 214, 42, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.