GCD of 350, 432, 72 Calculator

Given Input numbers are 350, 432, 72

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Greatest Common Divisior

We found the divisors of 350, 432, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 432, 72 is 2.

Therefore, GCD of numbers 350, 432, 72 is 2

Given Input Data is 350, 432, 72

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(350, 432) = 75600

GCD(350, 432) = ( 350 x 432 ) / 75600

GCD(350, 432) = 151200 / 75600

GCD(350, 432) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

GCD of 350, 432, 72 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 206, 354, 96
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• GCD of 400, 361, 16
• GCD of 490, 430, 32

1. What is the GCD of 350, 432, 72?

GCD of 350, 432, 72 is 2

2. Where do I get the detailed procedure to find GCD of 350, 432, 72?

You can find a detailed procedure to find GCD of 350, 432, 72 on our page.

3. How to find GCD of 350, 432, 72 on a calculator?

You can find the GCD of 350, 432, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.