GCD of 735, 427, 96 Calculator

Given Input numbers are 735, 427, 96

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

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

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Greatest Common Divisior

We found the divisors of 735, 427, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 427, 96 is 1.

Therefore, GCD of numbers 735, 427, 96 is 1

Given Input Data is 735, 427, 96

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

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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(735, 427) = 44835

GCD(735, 427) = ( 735 x 427 ) / 44835

GCD(735, 427) = 313845 / 44835

GCD(735, 427) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 96

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

LCM(7, 96) = 672

GCD(7, 96) = ( 7 x 96 ) / 672

GCD(7, 96) = 672 / 672

GCD(7, 96) = 1

GCD of 735, 427, 96 is 1

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• GCD of 163, 595, 28
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1. What is the GCD of 735, 427, 96?

GCD of 735, 427, 96 is 1

2. Where do I get the detailed procedure to find GCD of 735, 427, 96?

You can find a detailed procedure to find GCD of 735, 427, 96 on our page.

3. How to find GCD of 735, 427, 96 on a calculator?

You can find the GCD of 735, 427, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.