GCD of 685, 575, 98, 171 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 685, 575, 98, 171 i.e. 1 largest integer that divides all the numbers equally.

GCD of 685, 575, 98, 171 is 1

GCD(685, 575, 98, 171) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 685, 575, 98, 171 is 1

GCD(685, 575, 98, 171) = 1

GCD of 685,575,98,171 Calculator

GCDof 685,575,98,171 is 1

Given Input numbers are 685, 575, 98, 171

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

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 171

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

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 685, 575, 98, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 575, 98, 171 is 1.

Therefore, GCD of numbers 685, 575, 98, 171 is 1

Finding GCD of 685, 575, 98, 171 using Prime Factorization

Given Input Data is 685, 575, 98, 171

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

Prime Factorization of 685 is 5 x 137

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 171 is 3 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 685, 575, 98, 171 using LCM Formula

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(685, 575) = 78775

GCD(685, 575) = ( 685 x 575 ) / 78775

GCD(685, 575) = 393875 / 78775

GCD(685, 575) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 98

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

LCM(5, 98) = 490

GCD(5, 98) = ( 5 x 98 ) / 490

GCD(5, 98) = 490 / 490

GCD(5, 98) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 685, 575, 98, 171 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 685, 575, 98, 171

1. What is the GCD of 685, 575, 98, 171?

GCD of 685, 575, 98, 171 is 1


2. Where do I get the detailed procedure to find GCD of 685, 575, 98, 171?

You can find a detailed procedure to find GCD of 685, 575, 98, 171 on our page.


3. How to find GCD of 685, 575, 98, 171 on a calculator?

You can find the GCD of 685, 575, 98, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.