GCD of 344, 670, 54, 846 Calculator

Given Input numbers are 344, 670, 54, 846

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 344, 670, 54, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 670, 54, 846 is 2.

Therefore, GCD of numbers 344, 670, 54, 846 is 2

Given Input Data is 344, 670, 54, 846

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 846 is 2 x 3 x 3 x 47

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(344, 670) = 115240

GCD(344, 670) = ( 344 x 670 ) / 115240

GCD(344, 670) = 230480 / 115240

GCD(344, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 846

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

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

GCD(2, 846) = 1692 / 846

GCD(2, 846) = 2

GCD of 344, 670, 54, 846 is 2

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1. What is the GCD of 344, 670, 54, 846?

GCD of 344, 670, 54, 846 is 2

2. Where do I get the detailed procedure to find GCD of 344, 670, 54, 846?

You can find a detailed procedure to find GCD of 344, 670, 54, 846 on our page.

3. How to find GCD of 344, 670, 54, 846 on a calculator?

You can find the GCD of 344, 670, 54, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.