GCD of 554, 424, 46, 348 Calculator

Given Input numbers are 554, 424, 46, 348

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

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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

Greatest Common Divisior

We found the divisors of 554, 424, 46, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 424, 46, 348 is 2.

Therefore, GCD of numbers 554, 424, 46, 348 is 2

Given Input Data is 554, 424, 46, 348

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 46 is 2 x 23

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(554, 424) = 117448

GCD(554, 424) = ( 554 x 424 ) / 117448

GCD(554, 424) = 234896 / 117448

GCD(554, 424) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 348

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

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

GCD(2, 348) = 696 / 348

GCD(2, 348) = 2

GCD of 554, 424, 46, 348 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 292, 716, 14, 376
• GCD of 465, 352, 32, 450
• GCD of 820, 801, 38, 189
• GCD of 128, 252, 16, 816
• GCD of 498, 590, 98, 829

1. What is the GCD of 554, 424, 46, 348?

GCD of 554, 424, 46, 348 is 2

2. Where do I get the detailed procedure to find GCD of 554, 424, 46, 348?

You can find a detailed procedure to find GCD of 554, 424, 46, 348 on our page.

3. How to find GCD of 554, 424, 46, 348 on a calculator?

You can find the GCD of 554, 424, 46, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.