GCD of 465, 465, 686, 916 Calculator

Given Input numbers are 465, 465, 686, 916

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 465

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

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

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 465, 465, 686, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 465, 686, 916 is 1.

Therefore, GCD of numbers 465, 465, 686, 916 is 1

Given Input Data is 465, 465, 686, 916

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 465 is 3 x 5 x 31

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 916 is 2 x 2 x 229

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, 465) = 465

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

GCD(465, 465) = 216225 / 465

GCD(465, 465) = 465

Step2:

Here we consider the GCD from the above i.e. 465 as first number and the next as 686

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

LCM(465, 686) = 318990

GCD(465, 686) = ( 465 x 686 ) / 318990

GCD(465, 686) = 318990 / 318990

GCD(465, 686) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 465, 465, 686, 916 is 1

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1. What is the GCD of 465, 465, 686, 916?

GCD of 465, 465, 686, 916 is 1

2. Where do I get the detailed procedure to find GCD of 465, 465, 686, 916?

You can find a detailed procedure to find GCD of 465, 465, 686, 916 on our page.

3. How to find GCD of 465, 465, 686, 916 on a calculator?

You can find the GCD of 465, 465, 686, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.