GCD of 327, 402, 984, 735 Calculator

Given Input numbers are 327, 402, 984, 735

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 327, 402, 984, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 402, 984, 735 is 3.

Therefore, GCD of numbers 327, 402, 984, 735 is 3

Given Input Data is 327, 402, 984, 735

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(327, 402) = 43818

GCD(327, 402) = ( 327 x 402 ) / 43818

GCD(327, 402) = 131454 / 43818

GCD(327, 402) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 984

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

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

GCD(3, 984) = 2952 / 984

GCD(3, 984) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 735

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

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

GCD(3, 735) = 2205 / 735

GCD(3, 735) = 3

GCD of 327, 402, 984, 735 is 3

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1. What is the GCD of 327, 402, 984, 735?

GCD of 327, 402, 984, 735 is 3

2. Where do I get the detailed procedure to find GCD of 327, 402, 984, 735?

You can find a detailed procedure to find GCD of 327, 402, 984, 735 on our page.

3. How to find GCD of 327, 402, 984, 735 on a calculator?

You can find the GCD of 327, 402, 984, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.