GCD of 489, 175, 141, 194 Calculator

Given Input numbers are 489, 175, 141, 194

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

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 489, 175, 141, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 175, 141, 194 is 1.

Therefore, GCD of numbers 489, 175, 141, 194 is 1

Given Input Data is 489, 175, 141, 194

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 141 is 3 x 47

Prime Factorization of 194 is 2 x 97

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(489, 175) = 85575

GCD(489, 175) = ( 489 x 175 ) / 85575

GCD(489, 175) = 85575 / 85575

GCD(489, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 194

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

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

GCD(1, 194) = 194 / 194

GCD(1, 194) = 1

GCD of 489, 175, 141, 194 is 1

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1. What is the GCD of 489, 175, 141, 194?

GCD of 489, 175, 141, 194 is 1

2. Where do I get the detailed procedure to find GCD of 489, 175, 141, 194?

You can find a detailed procedure to find GCD of 489, 175, 141, 194 on our page.

3. How to find GCD of 489, 175, 141, 194 on a calculator?

You can find the GCD of 489, 175, 141, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.