GCD of 344, 348, 454, 962 Calculator

Given Input numbers are 344, 348, 454, 962

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 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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 344, 348, 454, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 348, 454, 962 is 2.

Therefore, GCD of numbers 344, 348, 454, 962 is 2

Given Input Data is 344, 348, 454, 962

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 348 is 2 x 2 x 3 x 29

Prime Factorization of 454 is 2 x 227

Prime Factorization of 962 is 2 x 13 x 37

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, 348) = 29928

GCD(344, 348) = ( 344 x 348 ) / 29928

GCD(344, 348) = 119712 / 29928

GCD(344, 348) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 454

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

LCM(4, 454) = 908

GCD(4, 454) = ( 4 x 454 ) / 908

GCD(4, 454) = 1816 / 908

GCD(4, 454) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 962

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

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

GCD(2, 962) = 1924 / 962

GCD(2, 962) = 2

GCD of 344, 348, 454, 962 is 2

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1. What is the GCD of 344, 348, 454, 962?

GCD of 344, 348, 454, 962 is 2

2. Where do I get the detailed procedure to find GCD of 344, 348, 454, 962?

You can find a detailed procedure to find GCD of 344, 348, 454, 962 on our page.

3. How to find GCD of 344, 348, 454, 962 on a calculator?

You can find the GCD of 344, 348, 454, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.