GCD of 465, 914, 886, 216 Calculator

Given Input numbers are 465, 914, 886, 216

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

Divisors of 465

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

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 465, 914, 886, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 914, 886, 216 is 1.

Therefore, GCD of numbers 465, 914, 886, 216 is 1

Given Input Data is 465, 914, 886, 216

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 914 is 2 x 457

Prime Factorization of 886 is 2 x 443

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

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(465, 914) = 425010

GCD(465, 914) = ( 465 x 914 ) / 425010

GCD(465, 914) = 425010 / 425010

GCD(465, 914) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 886

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

LCM(1, 886) = 886

GCD(1, 886) = ( 1 x 886 ) / 886

GCD(1, 886) = 886 / 886

GCD(1, 886) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 465, 914, 886, 216 is 1

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1. What is the GCD of 465, 914, 886, 216?

GCD of 465, 914, 886, 216 is 1

2. Where do I get the detailed procedure to find GCD of 465, 914, 886, 216?

You can find a detailed procedure to find GCD of 465, 914, 886, 216 on our page.

3. How to find GCD of 465, 914, 886, 216 on a calculator?

You can find the GCD of 465, 914, 886, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.