GCD of 438, 176, 548, 148 Calculator

Given Input numbers are 438, 176, 548, 148

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 548

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

1, 2, 4, 137, 274, 548

Divisors of 148

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

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 438, 176, 548, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 176, 548, 148 is 2.

Therefore, GCD of numbers 438, 176, 548, 148 is 2

Given Input Data is 438, 176, 548, 148

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 148 is 2 x 2 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(438, 176) = 38544

GCD(438, 176) = ( 438 x 176 ) / 38544

GCD(438, 176) = 77088 / 38544

GCD(438, 176) = 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 148

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

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

GCD(2, 148) = 296 / 148

GCD(2, 148) = 2

GCD of 438, 176, 548, 148 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 115, 678, 759
• GCD of 964, 310, 743, 819
• GCD of 436, 746, 702, 910
• GCD of 718, 740, 193, 291
• GCD of 941, 694, 336, 699

1. What is the GCD of 438, 176, 548, 148?

GCD of 438, 176, 548, 148 is 2

2. Where do I get the detailed procedure to find GCD of 438, 176, 548, 148?

You can find a detailed procedure to find GCD of 438, 176, 548, 148 on our page.

3. How to find GCD of 438, 176, 548, 148 on a calculator?

You can find the GCD of 438, 176, 548, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.