GCD of 105, 177, 832 Calculator

Given Input numbers are 105, 177, 832

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

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

Greatest Common Divisior

We found the divisors of 105, 177, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 177, 832 is 1.

Therefore, GCD of numbers 105, 177, 832 is 1

Given Input Data is 105, 177, 832

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 177 is 3 x 59

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

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(105, 177) = 6195

GCD(105, 177) = ( 105 x 177 ) / 6195

GCD(105, 177) = 18585 / 6195

GCD(105, 177) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 832

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

LCM(3, 832) = 2496

GCD(3, 832) = ( 3 x 832 ) / 2496

GCD(3, 832) = 2496 / 2496

GCD(3, 832) = 1

GCD of 105, 177, 832 is 1

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1. What is the GCD of 105, 177, 832?

GCD of 105, 177, 832 is 1

2. Where do I get the detailed procedure to find GCD of 105, 177, 832?

You can find a detailed procedure to find GCD of 105, 177, 832 on our page.

3. How to find GCD of 105, 177, 832 on a calculator?

You can find the GCD of 105, 177, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.