GCD of 832, 918, 53, 215 Calculator

Given Input numbers are 832, 918, 53, 215

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 832, 918, 53, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 918, 53, 215 is 1.

Therefore, GCD of numbers 832, 918, 53, 215 is 1

Given Input Data is 832, 918, 53, 215

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 53 is 53

Prime Factorization of 215 is 5 x 43

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(832, 918) = 381888

GCD(832, 918) = ( 832 x 918 ) / 381888

GCD(832, 918) = 763776 / 381888

GCD(832, 918) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

GCD of 832, 918, 53, 215 is 1

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1. What is the GCD of 832, 918, 53, 215?

GCD of 832, 918, 53, 215 is 1

2. Where do I get the detailed procedure to find GCD of 832, 918, 53, 215?

You can find a detailed procedure to find GCD of 832, 918, 53, 215 on our page.

3. How to find GCD of 832, 918, 53, 215 on a calculator?

You can find the GCD of 832, 918, 53, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.