GCD of 170, 998, 89, 922 Calculator

Given Input numbers are 170, 998, 89, 922

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 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 170, 998, 89, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 998, 89, 922 is 1.

Therefore, GCD of numbers 170, 998, 89, 922 is 1

Given Input Data is 170, 998, 89, 922

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 998 is 2 x 499

Prime Factorization of 89 is 89

Prime Factorization of 922 is 2 x 461

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, 998) = 84830

GCD(170, 998) = ( 170 x 998 ) / 84830

GCD(170, 998) = 169660 / 84830

GCD(170, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

GCD of 170, 998, 89, 922 is 1

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• GCD of 902, 876, 19, 243
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1. What is the GCD of 170, 998, 89, 922?

GCD of 170, 998, 89, 922 is 1

2. Where do I get the detailed procedure to find GCD of 170, 998, 89, 922?

You can find a detailed procedure to find GCD of 170, 998, 89, 922 on our page.

3. How to find GCD of 170, 998, 89, 922 on a calculator?

You can find the GCD of 170, 998, 89, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.