GCD of 174, 350, 98, 489 Calculator

Given Input numbers are 174, 350, 98, 489

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 489

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

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 174, 350, 98, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 350, 98, 489 is 1.

Therefore, GCD of numbers 174, 350, 98, 489 is 1

Given Input Data is 174, 350, 98, 489

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 489 is 3 x 163

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(174, 350) = 30450

GCD(174, 350) = ( 174 x 350 ) / 30450

GCD(174, 350) = 60900 / 30450

GCD(174, 350) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 489

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

LCM(2, 489) = 978

GCD(2, 489) = ( 2 x 489 ) / 978

GCD(2, 489) = 978 / 978

GCD(2, 489) = 1

GCD of 174, 350, 98, 489 is 1

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• GCD of 970, 898, 65, 929
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1. What is the GCD of 174, 350, 98, 489?

GCD of 174, 350, 98, 489 is 1

2. Where do I get the detailed procedure to find GCD of 174, 350, 98, 489?

You can find a detailed procedure to find GCD of 174, 350, 98, 489 on our page.

3. How to find GCD of 174, 350, 98, 489 on a calculator?

You can find the GCD of 174, 350, 98, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.