GCD of 432, 349, 37, 154 Calculator

Given Input numbers are 432, 349, 37, 154

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 432, 349, 37, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 349, 37, 154 is 1.

Therefore, GCD of numbers 432, 349, 37, 154 is 1

Given Input Data is 432, 349, 37, 154

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 349 is 349

Prime Factorization of 37 is 37

Prime Factorization of 154 is 2 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

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(432, 349) = 150768

GCD(432, 349) = ( 432 x 349 ) / 150768

GCD(432, 349) = 150768 / 150768

GCD(432, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 432, 349, 37, 154 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 466, 82, 751
• GCD of 211, 377, 70, 252
• GCD of 140, 276, 22, 794
• GCD of 494, 860, 91, 153
• GCD of 208, 632, 21, 162

1. What is the GCD of 432, 349, 37, 154?

GCD of 432, 349, 37, 154 is 1

2. Where do I get the detailed procedure to find GCD of 432, 349, 37, 154?

You can find a detailed procedure to find GCD of 432, 349, 37, 154 on our page.

3. How to find GCD of 432, 349, 37, 154 on a calculator?

You can find the GCD of 432, 349, 37, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.