GCD of 424, 430, 548, 178 Calculator

Given Input numbers are 424, 430, 548, 178

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

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 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 424, 430, 548, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 430, 548, 178 is 2.

Therefore, GCD of numbers 424, 430, 548, 178 is 2

Given Input Data is 424, 430, 548, 178

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

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

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 178 is 2 x 89

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(424, 430) = 91160

GCD(424, 430) = ( 424 x 430 ) / 91160

GCD(424, 430) = 182320 / 91160

GCD(424, 430) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 548

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

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

GCD(2, 548) = 1096 / 548

GCD(2, 548) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 178

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

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

GCD(2, 178) = 356 / 178

GCD(2, 178) = 2

GCD of 424, 430, 548, 178 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 541, 756, 585
• GCD of 292, 610, 432, 836
• GCD of 700, 811, 177, 495
• GCD of 276, 733, 885, 408
• GCD of 178, 904, 384, 171

1. What is the GCD of 424, 430, 548, 178?

GCD of 424, 430, 548, 178 is 2

2. Where do I get the detailed procedure to find GCD of 424, 430, 548, 178?

You can find a detailed procedure to find GCD of 424, 430, 548, 178 on our page.

3. How to find GCD of 424, 430, 548, 178 on a calculator?

You can find the GCD of 424, 430, 548, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.