GCD of 416, 144, 735 Calculator

Given Input numbers are 416, 144, 735

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 416, 144, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 144, 735 is 1.

Therefore, GCD of numbers 416, 144, 735 is 1

Given Input Data is 416, 144, 735

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 735 is 3 x 5 x 7 x 7

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(416, 144) = 3744

GCD(416, 144) = ( 416 x 144 ) / 3744

GCD(416, 144) = 59904 / 3744

GCD(416, 144) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 735

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

LCM(16, 735) = 11760

GCD(16, 735) = ( 16 x 735 ) / 11760

GCD(16, 735) = 11760 / 11760

GCD(16, 735) = 1

GCD of 416, 144, 735 is 1

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1. What is the GCD of 416, 144, 735?

GCD of 416, 144, 735 is 1

2. Where do I get the detailed procedure to find GCD of 416, 144, 735?

You can find a detailed procedure to find GCD of 416, 144, 735 on our page.

3. How to find GCD of 416, 144, 735 on a calculator?

You can find the GCD of 416, 144, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.