GCD of 344, 148, 10, 374 Calculator

Given Input numbers are 344, 148, 10, 374

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 344, 148, 10, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 148, 10, 374 is 2.

Therefore, GCD of numbers 344, 148, 10, 374 is 2

Given Input Data is 344, 148, 10, 374

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 148 is 2 x 2 x 37

Prime Factorization of 10 is 2 x 5

Prime Factorization of 374 is 2 x 11 x 17

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, 148) = 12728

GCD(344, 148) = ( 344 x 148 ) / 12728

GCD(344, 148) = 50912 / 12728

GCD(344, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 10

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

LCM(4, 10) = 20

GCD(4, 10) = ( 4 x 10 ) / 20

GCD(4, 10) = 40 / 20

GCD(4, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 374

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

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

GCD(2, 374) = 748 / 374

GCD(2, 374) = 2

GCD of 344, 148, 10, 374 is 2

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• GCD of 429, 127, 15, 463
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• GCD of 769, 391, 18, 578

1. What is the GCD of 344, 148, 10, 374?

GCD of 344, 148, 10, 374 is 2

2. Where do I get the detailed procedure to find GCD of 344, 148, 10, 374?

You can find a detailed procedure to find GCD of 344, 148, 10, 374 on our page.

3. How to find GCD of 344, 148, 10, 374 on a calculator?

You can find the GCD of 344, 148, 10, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.