GCD of 535, 998, 25, 170 Calculator

Given Input numbers are 535, 998, 25, 170

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

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 998

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

1, 2, 499, 998

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 535, 998, 25, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 998, 25, 170 is 1.

Therefore, GCD of numbers 535, 998, 25, 170 is 1

Given Input Data is 535, 998, 25, 170

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

Prime Factorization of 535 is 5 x 107

Prime Factorization of 998 is 2 x 499

Prime Factorization of 25 is 5 x 5

Prime Factorization of 170 is 2 x 5 x 17

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(535, 998) = 533930

GCD(535, 998) = ( 535 x 998 ) / 533930

GCD(535, 998) = 533930 / 533930

GCD(535, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 535, 998, 25, 170 is 1

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1. What is the GCD of 535, 998, 25, 170?

GCD of 535, 998, 25, 170 is 1

2. Where do I get the detailed procedure to find GCD of 535, 998, 25, 170?

You can find a detailed procedure to find GCD of 535, 998, 25, 170 on our page.

3. How to find GCD of 535, 998, 25, 170 on a calculator?

You can find the GCD of 535, 998, 25, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.