GCD of 258, 924, 602, 954 Calculator

Given Input numbers are 258, 924, 602, 954

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

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 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 258, 924, 602, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 924, 602, 954 is 2.

Therefore, GCD of numbers 258, 924, 602, 954 is 2

Given Input Data is 258, 924, 602, 954

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 954 is 2 x 3 x 3 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(258, 924) = 39732

GCD(258, 924) = ( 258 x 924 ) / 39732

GCD(258, 924) = 238392 / 39732

GCD(258, 924) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 602

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

LCM(6, 602) = 1806

GCD(6, 602) = ( 6 x 602 ) / 1806

GCD(6, 602) = 3612 / 1806

GCD(6, 602) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 954

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

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

GCD(2, 954) = 1908 / 954

GCD(2, 954) = 2

GCD of 258, 924, 602, 954 is 2

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1. What is the GCD of 258, 924, 602, 954?

GCD of 258, 924, 602, 954 is 2

2. Where do I get the detailed procedure to find GCD of 258, 924, 602, 954?

You can find a detailed procedure to find GCD of 258, 924, 602, 954 on our page.

3. How to find GCD of 258, 924, 602, 954 on a calculator?

You can find the GCD of 258, 924, 602, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.