GCD of 45, 258, 921, 834 Calculator

Given Input numbers are 45, 258, 921, 834

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 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 45, 258, 921, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 258, 921, 834 is 3.

Therefore, GCD of numbers 45, 258, 921, 834 is 3

Given Input Data is 45, 258, 921, 834

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 258 is 2 x 3 x 43

Prime Factorization of 921 is 3 x 307

Prime Factorization of 834 is 2 x 3 x 139

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 258) = 3870

GCD(45, 258) = ( 45 x 258 ) / 3870

GCD(45, 258) = 11610 / 3870

GCD(45, 258) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 921

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

LCM(3, 921) = 921

GCD(3, 921) = ( 3 x 921 ) / 921

GCD(3, 921) = 2763 / 921

GCD(3, 921) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 834

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

LCM(3, 834) = 834

GCD(3, 834) = ( 3 x 834 ) / 834

GCD(3, 834) = 2502 / 834

GCD(3, 834) = 3

GCD of 45, 258, 921, 834 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 704, 167, 724
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• GCD of 69, 735, 600, 459

1. What is the GCD of 45, 258, 921, 834?

GCD of 45, 258, 921, 834 is 3

2. Where do I get the detailed procedure to find GCD of 45, 258, 921, 834?

You can find a detailed procedure to find GCD of 45, 258, 921, 834 on our page.

3. How to find GCD of 45, 258, 921, 834 on a calculator?

You can find the GCD of 45, 258, 921, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.