GCD of 402, 969, 305, 234 Calculator

Given Input numbers are 402, 969, 305, 234

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 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 402, 969, 305, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 969, 305, 234 is 1.

Therefore, GCD of numbers 402, 969, 305, 234 is 1

Given Input Data is 402, 969, 305, 234

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 969 is 3 x 17 x 19

Prime Factorization of 305 is 5 x 61

Prime Factorization of 234 is 2 x 3 x 3 x 13

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(402, 969) = 129846

GCD(402, 969) = ( 402 x 969 ) / 129846

GCD(402, 969) = 389538 / 129846

GCD(402, 969) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 305

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

LCM(3, 305) = 915

GCD(3, 305) = ( 3 x 305 ) / 915

GCD(3, 305) = 915 / 915

GCD(3, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 402, 969, 305, 234 is 1

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1. What is the GCD of 402, 969, 305, 234?

GCD of 402, 969, 305, 234 is 1

2. Where do I get the detailed procedure to find GCD of 402, 969, 305, 234?

You can find a detailed procedure to find GCD of 402, 969, 305, 234 on our page.

3. How to find GCD of 402, 969, 305, 234 on a calculator?

You can find the GCD of 402, 969, 305, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.