GCD of 465, 315, 85, 836 Calculator

Given Input numbers are 465, 315, 85, 836

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Greatest Common Divisior

We found the divisors of 465, 315, 85, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 315, 85, 836 is 1.

Therefore, GCD of numbers 465, 315, 85, 836 is 1

Given Input Data is 465, 315, 85, 836

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 315 is 3 x 3 x 5 x 7

Prime Factorization of 85 is 5 x 17

Prime Factorization of 836 is 2 x 2 x 11 x 19

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, 315) = 9765

GCD(465, 315) = ( 465 x 315 ) / 9765

GCD(465, 315) = 146475 / 9765

GCD(465, 315) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 85

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

LCM(15, 85) = 255

GCD(15, 85) = ( 15 x 85 ) / 255

GCD(15, 85) = 1275 / 255

GCD(15, 85) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 836

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

LCM(5, 836) = 4180

GCD(5, 836) = ( 5 x 836 ) / 4180

GCD(5, 836) = 4180 / 4180

GCD(5, 836) = 1

GCD of 465, 315, 85, 836 is 1

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• GCD of 864, 292, 81, 167
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1. What is the GCD of 465, 315, 85, 836?

GCD of 465, 315, 85, 836 is 1

2. Where do I get the detailed procedure to find GCD of 465, 315, 85, 836?

You can find a detailed procedure to find GCD of 465, 315, 85, 836 on our page.

3. How to find GCD of 465, 315, 85, 836 on a calculator?

You can find the GCD of 465, 315, 85, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.