GCD of 956, 170, 321, 420 Calculator

Given Input numbers are 956, 170, 321, 420

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

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

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 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

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

Greatest Common Divisior

We found the divisors of 956, 170, 321, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 170, 321, 420 is 1.

Therefore, GCD of numbers 956, 170, 321, 420 is 1

Given Input Data is 956, 170, 321, 420

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

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 321 is 3 x 107

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

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(956, 170) = 81260

GCD(956, 170) = ( 956 x 170 ) / 81260

GCD(956, 170) = 162520 / 81260

GCD(956, 170) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 321

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

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

GCD(2, 321) = 642 / 642

GCD(2, 321) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 956, 170, 321, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 409, 581, 886
• GCD of 554, 728, 665, 975
• GCD of 954, 391, 452, 275
• GCD of 625, 444, 883, 781
• GCD of 224, 582, 872, 384

1. What is the GCD of 956, 170, 321, 420?

GCD of 956, 170, 321, 420 is 1

2. Where do I get the detailed procedure to find GCD of 956, 170, 321, 420?

You can find a detailed procedure to find GCD of 956, 170, 321, 420 on our page.

3. How to find GCD of 956, 170, 321, 420 on a calculator?

You can find the GCD of 956, 170, 321, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.