GCD of 832, 952, 561, 363 Calculator

Given Input numbers are 832, 952, 561, 363

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 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 832, 952, 561, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 952, 561, 363 is 1.

Therefore, GCD of numbers 832, 952, 561, 363 is 1

Given Input Data is 832, 952, 561, 363

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 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 363 is 3 x 11 x 11

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, 952) = 99008

GCD(832, 952) = ( 832 x 952 ) / 99008

GCD(832, 952) = 792064 / 99008

GCD(832, 952) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 561

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

LCM(8, 561) = 4488

GCD(8, 561) = ( 8 x 561 ) / 4488

GCD(8, 561) = 4488 / 4488

GCD(8, 561) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 832, 952, 561, 363 is 1

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1. What is the GCD of 832, 952, 561, 363?

GCD of 832, 952, 561, 363 is 1

2. Where do I get the detailed procedure to find GCD of 832, 952, 561, 363?

You can find a detailed procedure to find GCD of 832, 952, 561, 363 on our page.

3. How to find GCD of 832, 952, 561, 363 on a calculator?

You can find the GCD of 832, 952, 561, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.