GCD of 170, 791, 48, 914 Calculator

Given Input numbers are 170, 791, 48, 914

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 170, 791, 48, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 791, 48, 914 is 1.

Therefore, GCD of numbers 170, 791, 48, 914 is 1

Given Input Data is 170, 791, 48, 914

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 791 is 7 x 113

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 914 is 2 x 457

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(170, 791) = 134470

GCD(170, 791) = ( 170 x 791 ) / 134470

GCD(170, 791) = 134470 / 134470

GCD(170, 791) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 170, 791, 48, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 122, 12, 636
• GCD of 908, 219, 77, 557
• GCD of 831, 821, 68, 305
• GCD of 764, 708, 88, 464
• GCD of 891, 705, 19, 281

1. What is the GCD of 170, 791, 48, 914?

GCD of 170, 791, 48, 914 is 1

2. Where do I get the detailed procedure to find GCD of 170, 791, 48, 914?

You can find a detailed procedure to find GCD of 170, 791, 48, 914 on our page.

3. How to find GCD of 170, 791, 48, 914 on a calculator?

You can find the GCD of 170, 791, 48, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.