GCD of 909, 318, 98, 434 Calculator

Given Input numbers are 909, 318, 98, 434

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 909, 318, 98, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 318, 98, 434 is 1.

Therefore, GCD of numbers 909, 318, 98, 434 is 1

Given Input Data is 909, 318, 98, 434

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 434 is 2 x 7 x 31

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(909, 318) = 96354

GCD(909, 318) = ( 909 x 318 ) / 96354

GCD(909, 318) = 289062 / 96354

GCD(909, 318) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 98

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

LCM(3, 98) = 294

GCD(3, 98) = ( 3 x 98 ) / 294

GCD(3, 98) = 294 / 294

GCD(3, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 909, 318, 98, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 993, 53, 408
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• GCD of 601, 109, 46, 964

1. What is the GCD of 909, 318, 98, 434?

GCD of 909, 318, 98, 434 is 1

2. Where do I get the detailed procedure to find GCD of 909, 318, 98, 434?

You can find a detailed procedure to find GCD of 909, 318, 98, 434 on our page.

3. How to find GCD of 909, 318, 98, 434 on a calculator?

You can find the GCD of 909, 318, 98, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.