GCD of 402, 591, 93, 297 Calculator

Given Input numbers are 402, 591, 93, 297

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

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 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 402, 591, 93, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 591, 93, 297 is 3.

Therefore, GCD of numbers 402, 591, 93, 297 is 3

Given Input Data is 402, 591, 93, 297

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 591 is 3 x 197

Prime Factorization of 93 is 3 x 31

Prime Factorization of 297 is 3 x 3 x 3 x 11

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(402, 591) = 79194

GCD(402, 591) = ( 402 x 591 ) / 79194

GCD(402, 591) = 237582 / 79194

GCD(402, 591) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 93

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

LCM(3, 93) = 93

GCD(3, 93) = ( 3 x 93 ) / 93

GCD(3, 93) = 279 / 93

GCD(3, 93) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 297

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

LCM(3, 297) = 297

GCD(3, 297) = ( 3 x 297 ) / 297

GCD(3, 297) = 891 / 297

GCD(3, 297) = 3

GCD of 402, 591, 93, 297 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 119, 49, 762
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• GCD of 731, 471, 89, 707

1. What is the GCD of 402, 591, 93, 297?

GCD of 402, 591, 93, 297 is 3

2. Where do I get the detailed procedure to find GCD of 402, 591, 93, 297?

You can find a detailed procedure to find GCD of 402, 591, 93, 297 on our page.

3. How to find GCD of 402, 591, 93, 297 on a calculator?

You can find the GCD of 402, 591, 93, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.