GCD of 170, 275, 19, 262 Calculator

Given Input numbers are 170, 275, 19, 262

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 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Greatest Common Divisior

We found the divisors of 170, 275, 19, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 275, 19, 262 is 1.

Therefore, GCD of numbers 170, 275, 19, 262 is 1

Given Input Data is 170, 275, 19, 262

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 275 is 5 x 5 x 11

Prime Factorization of 19 is 19

Prime Factorization of 262 is 2 x 131

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, 275) = 9350

GCD(170, 275) = ( 170 x 275 ) / 9350

GCD(170, 275) = 46750 / 9350

GCD(170, 275) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 19

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

LCM(5, 19) = 95

GCD(5, 19) = ( 5 x 19 ) / 95

GCD(5, 19) = 95 / 95

GCD(5, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 262

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

LCM(1, 262) = 262

GCD(1, 262) = ( 1 x 262 ) / 262

GCD(1, 262) = 262 / 262

GCD(1, 262) = 1

GCD of 170, 275, 19, 262 is 1

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1. What is the GCD of 170, 275, 19, 262?

GCD of 170, 275, 19, 262 is 1

2. Where do I get the detailed procedure to find GCD of 170, 275, 19, 262?

You can find a detailed procedure to find GCD of 170, 275, 19, 262 on our page.

3. How to find GCD of 170, 275, 19, 262 on a calculator?

You can find the GCD of 170, 275, 19, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.