GCD of 279, 741, 420, 170 Calculator

Given Input numbers are 279, 741, 420, 170

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

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 279, 741, 420, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 741, 420, 170 is 1.

Therefore, GCD of numbers 279, 741, 420, 170 is 1

Given Input Data is 279, 741, 420, 170

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

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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(279, 741) = 68913

GCD(279, 741) = ( 279 x 741 ) / 68913

GCD(279, 741) = 206739 / 68913

GCD(279, 741) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 420

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

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

GCD(3, 420) = 1260 / 420

GCD(3, 420) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 170

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

LCM(3, 170) = 510

GCD(3, 170) = ( 3 x 170 ) / 510

GCD(3, 170) = 510 / 510

GCD(3, 170) = 1

GCD of 279, 741, 420, 170 is 1

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1. What is the GCD of 279, 741, 420, 170?

GCD of 279, 741, 420, 170 is 1

2. Where do I get the detailed procedure to find GCD of 279, 741, 420, 170?

You can find a detailed procedure to find GCD of 279, 741, 420, 170 on our page.

3. How to find GCD of 279, 741, 420, 170 on a calculator?

You can find the GCD of 279, 741, 420, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.