GCD of 171, 835, 98, 360 Calculator

Given Input numbers are 171, 835, 98, 360

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 171, 835, 98, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 835, 98, 360 is 1.

Therefore, GCD of numbers 171, 835, 98, 360 is 1

Given Input Data is 171, 835, 98, 360

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 835 is 5 x 167

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(171, 835) = 142785

GCD(171, 835) = ( 171 x 835 ) / 142785

GCD(171, 835) = 142785 / 142785

GCD(171, 835) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 171, 835, 98, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 845, 61, 441
• GCD of 540, 493, 57, 873
• GCD of 867, 251, 61, 757
• GCD of 466, 183, 82, 336
• GCD of 318, 798, 18, 970

1. What is the GCD of 171, 835, 98, 360?

GCD of 171, 835, 98, 360 is 1

2. Where do I get the detailed procedure to find GCD of 171, 835, 98, 360?

You can find a detailed procedure to find GCD of 171, 835, 98, 360 on our page.

3. How to find GCD of 171, 835, 98, 360 on a calculator?

You can find the GCD of 171, 835, 98, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.