GCD of 45, 469, 564, 334 Calculator

Given Input numbers are 45, 469, 564, 334

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

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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 45, 469, 564, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 469, 564, 334 is 1.

Therefore, GCD of numbers 45, 469, 564, 334 is 1

Given Input Data is 45, 469, 564, 334

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 469 is 7 x 67

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(45, 469) = 21105

GCD(45, 469) = ( 45 x 469 ) / 21105

GCD(45, 469) = 21105 / 21105

GCD(45, 469) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 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 45, 469, 564, 334 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 169, 389, 955
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• GCD of 89, 929, 377, 182

1. What is the GCD of 45, 469, 564, 334?

GCD of 45, 469, 564, 334 is 1

2. Where do I get the detailed procedure to find GCD of 45, 469, 564, 334?

You can find a detailed procedure to find GCD of 45, 469, 564, 334 on our page.

3. How to find GCD of 45, 469, 564, 334 on a calculator?

You can find the GCD of 45, 469, 564, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.