GCD of 458, 694, 45, 334 Calculator

Given Input numbers are 458, 694, 45, 334

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 458, 694, 45, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 694, 45, 334 is 1.

Therefore, GCD of numbers 458, 694, 45, 334 is 1

Given Input Data is 458, 694, 45, 334

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 694 is 2 x 347

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 334 is 2 x 167

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(458, 694) = 158926

GCD(458, 694) = ( 458 x 694 ) / 158926

GCD(458, 694) = 317852 / 158926

GCD(458, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

GCD of 458, 694, 45, 334 is 1

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1. What is the GCD of 458, 694, 45, 334?

GCD of 458, 694, 45, 334 is 1

2. Where do I get the detailed procedure to find GCD of 458, 694, 45, 334?

You can find a detailed procedure to find GCD of 458, 694, 45, 334 on our page.

3. How to find GCD of 458, 694, 45, 334 on a calculator?

You can find the GCD of 458, 694, 45, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.