GCD of 915, 810, 774, 465 Calculator

Given Input numbers are 915, 810, 774, 465

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

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 915, 810, 774, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 810, 774, 465 is 3.

Therefore, GCD of numbers 915, 810, 774, 465 is 3

Given Input Data is 915, 810, 774, 465

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 465 is 3 x 5 x 31

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(915, 810) = 49410

GCD(915, 810) = ( 915 x 810 ) / 49410

GCD(915, 810) = 741150 / 49410

GCD(915, 810) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 774

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

LCM(15, 774) = 3870

GCD(15, 774) = ( 15 x 774 ) / 3870

GCD(15, 774) = 11610 / 3870

GCD(15, 774) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 465

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

LCM(3, 465) = 465

GCD(3, 465) = ( 3 x 465 ) / 465

GCD(3, 465) = 1395 / 465

GCD(3, 465) = 3

GCD of 915, 810, 774, 465 is 3

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1. What is the GCD of 915, 810, 774, 465?

GCD of 915, 810, 774, 465 is 3

2. Where do I get the detailed procedure to find GCD of 915, 810, 774, 465?

You can find a detailed procedure to find GCD of 915, 810, 774, 465 on our page.

3. How to find GCD of 915, 810, 774, 465 on a calculator?

You can find the GCD of 915, 810, 774, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.