GCD of 48, 258, 620, 916 Calculator

Given Input numbers are 48, 258, 620, 916

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 48, 258, 620, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 258, 620, 916 is 2.

Therefore, GCD of numbers 48, 258, 620, 916 is 2

Given Input Data is 48, 258, 620, 916

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 916 is 2 x 2 x 229

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(48, 258) = 2064

GCD(48, 258) = ( 48 x 258 ) / 2064

GCD(48, 258) = 12384 / 2064

GCD(48, 258) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 620

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

LCM(6, 620) = 1860

GCD(6, 620) = ( 6 x 620 ) / 1860

GCD(6, 620) = 3720 / 1860

GCD(6, 620) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 916

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

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

GCD(2, 916) = 1832 / 916

GCD(2, 916) = 2

GCD of 48, 258, 620, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 283, 940, 903
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• GCD of 44, 741, 581, 986
• GCD of 46, 711, 512, 933

1. What is the GCD of 48, 258, 620, 916?

GCD of 48, 258, 620, 916 is 2

2. Where do I get the detailed procedure to find GCD of 48, 258, 620, 916?

You can find a detailed procedure to find GCD of 48, 258, 620, 916 on our page.

3. How to find GCD of 48, 258, 620, 916 on a calculator?

You can find the GCD of 48, 258, 620, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.