GCD of 314, 849, 97, 462 Calculator

Given Input numbers are 314, 849, 97, 462

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 314, 849, 97, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 849, 97, 462 is 1.

Therefore, GCD of numbers 314, 849, 97, 462 is 1

Given Input Data is 314, 849, 97, 462

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 849 is 3 x 283

Prime Factorization of 97 is 97

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(314, 849) = 266586

GCD(314, 849) = ( 314 x 849 ) / 266586

GCD(314, 849) = 266586 / 266586

GCD(314, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 314, 849, 97, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 321, 54, 391
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• GCD of 769, 666, 38, 637
• GCD of 844, 763, 14, 510
• GCD of 393, 683, 16, 994

1. What is the GCD of 314, 849, 97, 462?

GCD of 314, 849, 97, 462 is 1

2. Where do I get the detailed procedure to find GCD of 314, 849, 97, 462?

You can find a detailed procedure to find GCD of 314, 849, 97, 462 on our page.

3. How to find GCD of 314, 849, 97, 462 on a calculator?

You can find the GCD of 314, 849, 97, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.