GCD of 345, 771, 258 Calculator

Given Input numbers are 345, 771, 258

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 258

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

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

Greatest Common Divisior

We found the divisors of 345, 771, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 771, 258 is 3.

Therefore, GCD of numbers 345, 771, 258 is 3

Given Input Data is 345, 771, 258

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 771 is 3 x 257

Prime Factorization of 258 is 2 x 3 x 43

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(345, 771) = 88665

GCD(345, 771) = ( 345 x 771 ) / 88665

GCD(345, 771) = 265995 / 88665

GCD(345, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 258

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

LCM(3, 258) = 258

GCD(3, 258) = ( 3 x 258 ) / 258

GCD(3, 258) = 774 / 258

GCD(3, 258) = 3

GCD of 345, 771, 258 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 838, 915
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1. What is the GCD of 345, 771, 258?

GCD of 345, 771, 258 is 3

2. Where do I get the detailed procedure to find GCD of 345, 771, 258?

You can find a detailed procedure to find GCD of 345, 771, 258 on our page.

3. How to find GCD of 345, 771, 258 on a calculator?

You can find the GCD of 345, 771, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.